Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?
Answer ASAP
Answers
Answer:
4. vertical translation 4 units down
6. horizontal translation 2 units to the right
Step-by-step explanation:
Given [tex]f(x)=7^x[/tex] and [tex]g(x)=7^{x+2}-4[/tex]
1. Adding 2 to x means horizontal translation 2 units to the right.
2. Subtracting 4 from the function [tex]7^{x+2}[/tex] means vertical translation 4 units down.
So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.
Answer:the answers are “ horizontal translation 2 units left” and “ vertical translation 4 units down” :)
Step-by-step explanation:
Related Questions
If x =− 2 and x^2+y^2+3xy =-5 , then find y
Answers
Answer:
y = 3
Step-by-step explanation:
Given:
x²+y²+3xy =-5 and x = -2
Substituting x=-2 into the equation:
(-2)² + y² + 3y(-2) = -5
4 + y² - 6y = -5
y² - 6y +4 + 5 = 0
y² - 6y +9 = 0 (solve by factorization)
(y-3) (y-3) = 0
y = 3
If half the positive difference between 4.81 and 2.25 is multiplied by 0.32, what is the result?
Answers
The distance between 4.81 and 2.25 is 2.56.
Divide 2.56 by 2.
2.56 / 2 = 1.28.
Then multiply 0.38 by 1.28.
128 x 32 = 4096, then move the decimal 4 times to the left.
4096.
The decimal is behind the 6, you need to move the decimal in front of the 4.
Therefore, your result is 0.4096.
tell whether the sequence is geometric 31, 213, 4459, 637, 91,....
Answers
Answer:
No.
Step-by-step explanation:
If it is geometric the quotient of the terms and the previous term will be a constant.
213 / 31 = 6.871
4459 / 213= 20.93
These are not equal so the sequence is not geometric.
A function has an input of -6. What is the output if the function rule is y = 2x - 1?
Answers
A function has an input of -6. The output of function is -13
Solution:
Given that function has a input of -6
To find: output of function
Given function rule is y = 2x - 1
The input of the function is "x" and output of function is "y"
By substituting the given input value of "x" in the function rule, we will get the output of function
y = 2x - 1
Plug in x = -6 in above function rule
y = 2(-6) - 1
y = -12 - 1
y = -13
Therefore the output of function is -13
5. Statistical Literacy What terminology do we use for the probability of
rejecting the null hypothesis when it is true? What symbol do we use for
this probability? Is this the probability of a type I or a type II error?
Answers
Answer:
The correct option is type I error.
Step-by-step explanation:
Consider the provided information.
Type I error is the error occur when we reject the true null hypothesis,
Type II error is the error occur when we fail to reject false null hypothesis.
Now consider the provided information.
The symbol do we use for this probability is type I error.
Hence, the correct option is type I error.
Part A : How long will it take you to pay a $600000 loan at 3.7% yearly interest if you continue to make monthly payments of $2500 per month?
Part B : How much money will you have paid in total after you are done paying the above loan with its respective interest rate? AND, based on your answers, how much money did the bank make in profit?
DO ALGEBRAICALLY!!! PLEASE AND THANK YOU!!!
Answers
Answer:
Part A: 2.159 years.Part B: $647929.8. $47929.8Step-by-step explanation:
Part A:
Let, it will take x years to pay.
According to the question,
[tex]2500\times12x = $600000 + $600000 \times \frac{3.7x}{100} \\12x = 240(1 + \frac{3.7x}{100})\\x = 2(1 + \frac{3.7x}{100})\\0.926x = 2\\x = 2.159[/tex]
Part B:
Total money that needs to be paid is [tex]600000(1 + \frac{3.7\times 2.159}{100} )[/tex] = $647929.8.
The bank made $47929.8 in profit.
When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?
Answers
Answer:
Steve's temperature now is 99 degrees.
Step-by-step explanation:
102 degrees- 3 degrees=
99 degrees.
Steve's temperature was 102º F when he woke up. Two hours later, his temperature had dropped by 3º F, thus making his temperature 99º F.
Explanation:The subject of this question is a real-life mathematics reasoning task about temperature change. Based on the given information, Steve's initial temperature when he woke up was 102º F.
According to the problem, Steve's temperature decreased by 3º after two hours.
To find Steve's temperature after the decrease, you simply have to subtract this decrease from the original temperature. So you calculate 102º F - 3º F, which equals 99º F. Therefore, Steve's temperature two hours later was 99º F.
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All of the x values or inputs are called what?
Answers
Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she uses, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.
Answers
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
#18 i can't figure this out
Answers
Answer:
∠Q = 75 °
Step-by-step explanation:
Since PR = PQ then Δ PQR is isosceles and the base angles are congruent, that is
∠R = ∠Q = 2x + 15
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
2x + 15 + 2x + 15 + x = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Hence
∠Q = 2x + 15 = (2 × 30) + 15 = 60 + 15 = 75°
Complete each of the ratios on the table show calculations
Answers
Answer:
From left to right:
2, 4, 32
Step-by-step explanation:
Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.
yellow to blue = 8 to 16
8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2
8 to 16 = 1 to 2
This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.
In the first two columns, yellow paint is blue paint divided by 2.
4/2 = 2
8/2 = 4
In the last column, blue paint is yellow paint times 2.
16 X 2= 32
All of the ratios yellow to blue are:
2 to 4
4 to 8
8 to 16
16 to 32
Harry is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $15 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Harry would pay $3 per pound for the lobster, in addition to $38 for the meal. Harry realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Harry pay for his dinner? What is the weight?
Answers
Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.
Step-by-step explanation:
15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22
he would pay $107
and it would weigh 23 pounds
Step-by-step explanation:
15+4p=x
38+3p=x
15+4p=38+3p
subtract 3p from both sides
15+p=38
subtract 15 from both sides
p=23
15+4(23)=107
38+3(23)=107
Daniel is selecting a sock from his drawer.
He chooses a sock at random, does not
replace it, and then selects a second sock at
random. What is the probability that Daniel
selected a solid sock both times?
Answers
Answer:15/28
Step-by-step explanation: Ive had this question before That is the answer :)
Final answer:
To find the probability of selecting a solid sock both times from Daniel's drawer, multiply the probabilities at each step independently to get 1/105 or approximately 1% in total.
Explanation:
To calculate the probability of selecting a solid sock both times, you need to consider the independent probabilities at each step.
Probability of selecting a solid sock the first time is 1/7.
Probability of selecting a match for the second sock from the remaining socks would be 1/5.
Continuing this pattern, the total probability of selecting a solid sock both times is 1/105 or about 1%.
A pizza restaurant charges a flat fee for a plain cheese pizza. There is an extra charge for any additional toppings. The cost of a pizza can be I determined from the equation C = 0.5m + 5, where m is the number of
additional toppings and C is the cost of the pizza ordered. What are the
interpretations of slope and y-intercept in the equation?
A
slope: cost per additional topping
y-intercept: cost of the plain pizza
B. slope: cost per additional topping
y-intercept: cost of the first topping
C. slope: cost of the plain pizza
y-intercept: cost per additional topping
D. slope: ratio of cost of additional topping to the cost of the plain pizza
y-intercept: cost of an additional topping
Answers
The slope of 0.5 represents the cost per additional topping, while the y-intercept of 5 represents the cost of the plain pizza. Option A provides the correct interpretations.
To interpret the slope and y-intercept of the equation C = 0.5m + 5, where C represents the cost of the pizza and m represents the number of additional toppings:
A. The correct interpretation is:
- Slope: The slope of 0.5 represents the cost per additional topping. This means that for each additional topping added to the pizza, the cost increases by $0.5.
- Y-intercept: The y-intercept of 5 represents the cost of the plain pizza without any additional toppings. This is because when m = 0 (no additional toppings), the cost of the pizza is $5, which is the flat fee for the plain cheese pizza.
To confirm:
- When m = 0, the equation becomes C = 0.5(0) + 5 = 5 , which is the cost of the plain pizza without any additional toppings.
- When m = 1, the equation becomes C = 0.5(1) + 5 = 5.5, indicating that the cost increases by $0.5 when one additional topping is added.
Therefore, option A correctly interprets the slope and y-intercept of the equation.
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. Word Bank sum difference product quotient equal variable solution inverse add subtract multiply divide more than less than greater than inequality greater than or equal to less than or equal to equation negative
x/2 + 3 = -5
Answers
Answer:
The solution for the equation is x equal to -16
Step-by-step explanation:
Let's find the solution for x in the equation given:
x/2 + 3 = -5
Multiplying by 2 at both sides of the equation, we have:
x + 6 = -10
Subtracting 6 at both sides of the equation, we have:
x + 6 - 6 = - 10 - 6
x = - 16
The solution for the equation is x equal to -16
Terms used: multiply, subtract, solution, equal to, equation
To solve the equation x/2 + 3 = -5 for x, subtract 3 from both sides to get x/2 = -8. Then multiply both sides by 2 to isolate x, giving the solution x = -16.
Explanation:To find the solution for the variable x in the given equation x/2 + 3 = -5, we need to use the inverse operations of addition and division. Firstly, we need to eliminate the +3 from the left-hand side of the equation. We apply the inverse operation to addition which is subtraction. Therefore, we subtract 3 from both sides of the equation. This calculates to: x/2 = -5 -3. This can be simplified to x/2 = -8.
Secondly, to solve for the variable x we then need to remove the division by 2 and to do this, we multiply each side of the equation by 2 (the inverse operation of division) because x divided by 2 multiplied by 2 is equal to x. Hence the new equation becomes: 2*(x/2) = 2*-8 and simplifying gives us x = -16.
This process shows that the solution to the equation x/2 + 3 = -5 is x = -16.
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An employee earns $175 for 15 hours work.
Assuming he is paid by the hour, how much will this employee earn in 18 hours?
Answers
Answer:
$210
Explanation:
175/15 = 11.67
11.67x18 = 210
The amount of money that employees earn in 18 hours with the same rate of change will be $210.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
An employee earns $175 for 15 hours of work.
Per hour earning = $175/15
Earning in 18 hours will be, 175/15 x 18 = $210
Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".
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Trina's car uses 10 gallons of gas to travel 120 miles. If she has 5 gallons of gas in the tank, how much more gas will she need to drive 204 miles?
Answers
Answer: 12 gallons
Step-by-step explanation:
Use proportion to estimate how much gas she needs for 204 miles.
10:120=x:204
204*10=120x
x=2040/120
x=17 gallons
For 204 mile trip Trina needs 17 gallons of gas. She has 5 gallons.
17-5=12
She will need 12 gallons of gas.
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Write your answer as an expression.
Answers
Answer:
expression for cookies Anna have 3c- 8
Step-by-step explanation:
Given:
Number of cookie batches Anna baked = 2
Number of cookies in each batch = c
Number of cookies Anna ate = 8
To Find:
An expression representing the number of cookies left with Anna
Solution:
Let the expression representing the number of cookies left with Anna be y
First let us find the total number of cookies Anna baked
She baked 3 batches of cookies and each batch had c cookies in it
So,
Total number of cookies Anna baked = number batches X Number of cookies in each batch
=>[tex]3 \times c[/tex]
=> 3c
Now Anna ate 8 from 3c cookies, so she will be left with
=>3c-8 cookies
So , y = 3c- 8
if point A(-6,-2) of a trapezoid is moved through the translation (x+1, y-3) what will coordinates of A1 be?
Answers
Answer:
A1(-5,-5)
Step-by-step explanation:
given : A(-6,-2)
simply apply the translation to the coordinates above
A1 ( -6 + 1, -2-3) = A1(-5,-5)
Alberto recently opened a barbecue restaurant in Midtown. He paid for seven large tables to be delivered to the restaurant. If Alberto paid a delivery fee of
$95.45 and each table cost $235.75, what is the total amount Alberto paid?
$1,650.25
$1,626.00
$1,745.70
$1,554.80
Answers
Option C
Total amount paid by Alberto is $ 1745.7
Solution:Given that Alberto paid for seven large tables to be delivered to the restaurant
Alberto paid a delivery fee of $95.45
Cost of 1 table = $ 235.75
To find: total amount Alberto paid
cost of seven tables = cost of 1 table x 7
[tex]\text {cost of seven tables }=235.75 \times 7=1650.25[/tex]
Total amount paid = cost of seven tables + delivery feeTotal amount paid = 1650.25 + 95.45
Total amount paid = 1745.7
Thus total amount paid by Alberto is $ 1745.7 Therefore option C is correct
(Score for Question 1: ___ of 5 points)
1. In a candy shop, jellybeans which sell for $2.50 a pound are mixed with skittles which sell for $4 a pound to form a jellybean-skittles mix that sells for $3.50 a pound. How much of each are used to make 30 pounds of the mixture?
(a) Write a system of linear equations that models this situation.
(b) Use the substitution or elimination method to solve for how many pounds of jellybeans and how many pounds of skittles are used to make the 30-pound mixture.
Hint:
Equation one will represent that jellybeans and skittles will equal a total amount of pounds.
Equation 2 will represent that cost of each individual component (added together) equal the total cost of a 30-pound mixture.
Answer:
(Score for Question 2: ___ of 5 points)
2. Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.
(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.
(b) Solve the system of equations.
Answer:
3. (Score for Question 3: ___ of 5 points)
Solve the system of equations by substitution.
6 = −4x + y
−5x − y = 21
Answer:
Solve the system by the elimination method.
2x + y = 20
6x – 5y = 12
Answer:
please help me immediately please!!! whoever answers this gets marked brainliest
Answers
Answer:
The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
Step-by-step explanation:
Given equation is [tex]4 x+3y=13[/tex]
Now to find the separated values of x and y with the given equation.
Now find the value of x and so we have to separate the value x from the given equation
[tex]4x+3y=13[/tex]
[tex]4x=13=3y[/tex]
[tex]x=\frac{13-3y}{4}[/tex]
Therfore [tex]x=\frac{13-3y}{4}[/tex]
Now find the value of y and so we have to separate the value y from the given equation
[tex]4x+13y=13[/tex]
[tex]13y=13-4x[/tex]
[tex]y=\frac{13-4x}{13}[/tex]
[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]
[tex]y=1-\frac{4}{13}[/tex]
Therefore [tex]y=1\frac{4}{13}x[/tex]
The separated values of x and y from the given equation is
[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
Write the equation of the line with a slope of 5 and the point (2, 6) in slope-intercept form
Answers
Answer:
y = 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, thus
y = 5x + c ← is the partial equation
To find c substitute (2, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 5x - 4 ← equation of line
Subtract these polynomials.
(2x2 + 4x + 3) - (4x2 - 2x-3) =
O A. - 2x2 + 2x+0
O B. 6x2 + 6x + 6
O C. 6x2+2x+ 0
O D.-2x2+68+6
Answers
Answer:
B. -2x2 + 6x + 6.
Step-by-step explanation:
(2x2 + 4x + 3) - (4x2 - 2x-3) Distribute negative over the parentheses:
= 2x2 + 4x + 3 - 4x2 + 2x + 3
= 2x2 - 4x2 + 4x + 2x + 3 + 3
= -2x2 + 6x + 6.
The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.
Explanation:To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:
(2x2 + 4x + 3) - (4x2 - 2x - 3)
= 2x2 + 4x + 3 - 4x2 + 2x + 3
Now, combine like terms:
(2x2 - 4x2) + (4x + 2x) + (3 + 3)
= -2x2 + 6x + 6
The correct answer is D. -2x2 + 6x + 6.
Elijah made 100 brownies this week. He baked 4 more than three times the total he made last week. How many brownies did he bake last week?
Answers
Answer:
32
Step-by-step explanation:
Subtract 4 from 100
96
Divide by 3
32
The solution to the equation is x = 32, so Elijah baked 32 brownies last week.
Explanation:To find out how many brownies Elijah baked last week, we need to solve the equation 100 = 4 + 3x, where x is the number of brownies he made last week. Here are the steps to solve the equation:
Subtract 4 from both sides of the equation: 100 - 4 = 3xSimplify: 96 = 3xDivide both sides of the equation by 3: 96 ÷ 3 = xCalculate the result: x = 32Therefore, Elijah baked 32 brownies last week.
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) Group of answer choices No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
No, because the bike order does not meet the restrictions of 6c + 4a ≤ 100Step-by-step explanation:
It is given that, each child bike requires 4 hours to build and each adult bike requires 6 hours to build.
Hence, c child bikes and a adult bikes require [tex](4c + 6a)[/tex] hours to build.
It is also given that, each child bike requires 4 hours to test and each adult bike requires 4 hours to test.
Total time to test, c child bikes and a adult bikes is [tex](4c + 4a)[/tex]
The company will be able to make c child bikes and a adult bikes if [tex](4c + 6a) \leq 120\\(4c + 4a)\leq 100[/tex]
If c = 20 and a = 6, then (4c + 6a) = 116 < 120.
and (4c + 4a) = 104 > 100.
two years ago, the howards bought a van for $27,500. today the value of the van has decreased 35%. what is the value of the van now?
Answers
Answer: $17,875
Step-by-step explanation:
take 27,500 and multiply it by 35% or .35
27500 x .35= 9625
take 9625 and subtract it from the initial value
27500 - 9625= 17875
Answer:
35 × $27500 = $9625
100 1
= $27500-$9625
=$17875
EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT. I'M GIVING 100 POINTS AND I NEED ANSWERS
Answers
Step-by-step explanation:
[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}\\\\\text{simplify 28 and 7 (divide both by 7)}\\\\=\dfrac{28\!\!\!\!\!\diagup^4\cdot4}{1\cdot7\!\!\!\!\diagup_1}=\dfrac{4\cdo4}{1\cdot1}=\dfrac{16}{1}=16[/tex]
[tex]\dfrac{28}{7}\cdot4=(28:7)\cdot4=4\cdot4=16[/tex]
[tex]\text{Both expressions give the same result.}[/tex]
[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{7}\cdot4\\\\28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}=\dfrac{28\cdot4}{7\cdot1}=\dfrac{28}{7}\cdot\dfrac{4}{1}=\dfrac{28}{4}\cdot4[/tex]
Your question:
EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT
It all depends on the content of the question for which these expressions are.
Qestion:
Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?
Correct is 28 * 4/7.
(You calculate a fraction of a number).
28/7 * 4 - gives the same result. But the expression does not match the content of the question.
PLEASE HELP ME ASAP!!!! (I included the picture below with the question!!!)
I WILL GIVE BRAINLIEST! PLEASE SOLVE FAST!
Answers
Answer:
[tex]x=30^o[/tex]
Step-by-step explanation:
step 1
Find the measure of angle KNL
we know that
[tex]m\angle KNL+m\angle LNM+m\angle ONM=180^o[/tex]----> by straight angle
we have
[tex]m\angle LNM=45^o[/tex] ---> given problem
[tex]m\angle ONM=105^o[/tex] ---> given problem
substitute the given values
[tex]m\angle KNL+45^o+105^o=180^o[/tex]
[tex]m\angle KNL+150^o=180^o[/tex]
[tex]m\angle KNL=180^o-150^o[/tex]
[tex]m\angle KNL=30^o[/tex]
step 2
Find the value of x
In the right triangle KNL
we know that
[tex]m\angle KNL+m\angle NKL=90^o[/tex] ----> by complementary angles
we have
[tex]m\angle KNL=30^o[/tex]
[tex]m\angle NKL=2x[/tex]
substitute
[tex]30^o+2x=90^o[/tex]
[tex]2x=90^o-30^o[/tex]
[tex]2x=60^o[/tex]
[tex]x=30^o[/tex]
using distributive property-2(n+9)
Answers
Answer: -2n + -18
Explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is to distribute or multiply the -2 by each of the terms inside the set of parentheses.
So we get -2 (n) + -2 (9) and this simplifies to -2n + -18.
What is the equation of the line graphed below?
Answers
Answer:
C
Step-by-step explanation:
The slope is 4/1, written as 4
The y int is 4
Write the equation in y = mx + b form
y = 4x + 4