The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?
y – 3 = –(x + 8)y + 3 = –(x – 8)y + 8 = –(x – 3)y – 8 = –(x + 3)

Answers

Answer 1
The point-slope intercept is y - 8 = -(x + 3).  I think.
Answer 2

Answer:

Option 4 - [tex]y-8=-(x+3)[/tex]

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through point (–3, 8) is [tex]y =-x+ 6[/tex].

The general form of slope intercept is [tex]y=mx+c[/tex]

where, m is the slope and c is the y-intercept.

On comparing,

m=-1 and c=6

The point slope form of the equation of a straight line is

[tex]y-y_1=m(x-x_1)[/tex]

Point is [tex](x_1,y_1)=(-3,8)[/tex]

Substitute the values,

[tex]y-8=-1(x-(-3))[/tex]

[tex]y-8=-(x+3)[/tex]

The point-slope form of the equation for this line is [tex]y-8=-(x+3)[/tex]

Therefore, Option 4 is correct.


Related Questions

what is fourteen thousand and two hundred eight thousandths in standard form?

Answers

It is 14,000.208. I hope this helps!

The standard form of fourteen thousand and two hundred eight thousandths is 1.4208 x 10⁴.

What is a standard form of the number?

Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten. 1.23 108; If you look closely, 1.23 is a decimal number between 1.0 and 10.0, so the standard form of 123,000,000 is 1.23 108.

Given that the number is fourteen thousand and two hundred eight thousandths.

The standard form of the number will be written as,

14208 = 1.4208 x 10⁴

The standard form is 1.4208 x 10⁴.

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what's 12+ 4X when X= 1 1/2

Answers

your answer would be 18 because 1 1/2 x 4 =6. So 6 =12 is 18
12 + 4 • 1 1/2 = 18 you first take 4• 1 1/2 then add 12

The number of students is 7 more than 5 times the number of teachers. There are 12 teachers. How many students are there?

Answers

If there are 12 teachers and there 7 more than 5 times the amount of teachers then all we have to do is this :D

12 x 5 = 60

And since it says there are 7 more than 5 times the amount we need to add 7 to 60 which would be 67.


So, there are 67 students :D
12 teachers 5x as many students +7. 12x5=60 + 7 = 67

24x^2 + 25x - 47 = (-8x - 3)(ax-2) - 53

Answers

a must equal -3. 

Just looking at the first term of the left hand side of the equation, it must equal 24x². The only time x terms are being multiplied to form an x² on the right hand side of the equation is in the first two parenthesis. Therefore, -8 times a must be equal to 24, and from this you can get a= -3.

What comes next simplify 31/50,17/25,37/50,4/5,...

Answers

43/50

31/50=0,62

17/25=0,68(0,06 more)

37/50=0,74(0,06 more)

4/5=0,8(0,06 more)

43/50=0,86(0,06 more) 

Next decimal should be  0,86

You need to find a fraction from the decimal 0,86

0,86=86/100=43/50

if m∠1 = 50, then m∠5 =

Answers

1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]

The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines

The angle measure of angle 5 is m∠5 = 130 degrees.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given information:

The two lines m and n are parallel lines.

And line l intersects lines m and n.

m∠1 = 50.

angle 1 and angle 3 are opposite angles.

Therefore, m∠1 = m∠3.

Angle 3 and angle 5 represent a pair of supplementary angles.

So,

m∠3 + m∠5 = 180

m∠5 = 180 -50

m∠3 = 130.

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The complete question:

If m∠1 = 50, then m∠5 = ?

The image is given below.

Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.

Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answers

Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.

This means that the line modeling this situation crosses points at (2, 125) and (5, 275).

The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by

y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50

But if you are writing the equation in standard form it would be 

50x - y = -25


Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).

If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.

Writing the equation using the function notation would give us this
f(x) = 50x + 25


Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.

Answer:

Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.

Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Step-by-step explanation:

Ninety-one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach link correct?

Answers

No, he's incorrect, because 91 students can be in 7 groups of 13 or 13 groups of 7.

Answer: he is not right

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king

Answers

how many cards are in a deck??
52

Now subtract the 
 13spades + 3 kings = 16

what is left
36 left
 
want            36
_____      ---------
total             52

answer:   36/52
Final answer:

The probability that a card randomly drawn from a well-shuffled 52-card deck is not a spade or a king is approximately 0.846 or 44 out of 52.

Explanation:

In a well-shuffled deck of 52 cards, there are four spades and four kings. Therefore, there are 4 + 4 = 8 cards that could be a spade or a king. The probability that a randomly chosen card is a spade or king can be calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability is 8/52 or approximately 0.154.

However, the question asks for the probability that the card is not a spade or king. To find this, we calculate 1 minus the probability of drawing a spade or king. Therefore, the probability that a card randomly drawn from a well shuffle deck is not a spade or a king is 1 - 0.154 = 0.846 or 44/52.

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Certain clouds form when temperatures fall below minus−64°C. What is this temperature in degrees​ Fahrenheit?

Answers

-64 Celsius  =

-64 * 9/5 + 32 = minus 83.2 degrees Fahrenheit


Clouds form when temperatures drop below -64°C.

To convert temperatures from Fahrenheit to Celsius, subtract 32, multiply by 5, and divide by 9. -64°C is equal to -83.2°F, the temperature at which certain clouds form.

To convert from Fahrenheit to Celsius:

Subtract 32 from the Fahrenheit temperature.Multiply the result by 5.Divide by 9 to get the temperature in Celsius.

For this specific question:

Minus 64°C is equal to -83.2°F.

Clouds form when temperatures drop below -64°C.

Express 105 as a mixed number in simplest form. -
4 20
A.5 -
20
1
B.4 -
4
5
C.4 -
20
1
D.5 -
4

Answers

What are the options hun?
I can’t really understand them sorry

marcel bought a,new hat for $21.99 and 2 pairs of socks for 3.99 each. what is the total price, including a 7.5% sales tax?

Answers

Mathdad1965 Helping Hand Hat = $21.99 Socks: 2($3.99) Let T = total price T = (21.99 + 7.98)(0.075) + 29.97 Solve for T. Can you finish?

Divide. 5/6÷ −2/3 please help asap

Answers

(5/6)/ (-2/3)

5/6 x (-3/2)

-15/12

-5/4 is your answer

hope this helps
Answer = -5/4 or -1.25

Hope this answer is correct ☺

Triangle QRS is to be dilated using the rule Dp3/4 what will be the distance from the center of dilation p to the image of us

Answers

if anyone sees this the answer is C. 6 units just took the test and got it right 

Answer:

6units

Step-by-step explanation:

HELP HELP!! ONLY 1 QUESTION !! (Ill mark as brainlist if correct) Type the numerial answer

Answers

what were you asked to find exactly

A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 feet?

Answers

The height attained by an objects thrown from ground level is given by the equation:

[tex]v^2=u^2-2gs[/tex]

At maximum height, v = 0, we assume [tex]g = 32 ft/s^2[/tex] then we have:

[tex]0=u^2-2(32)(49)\\ \\u^2=3,136\\ \\ u= \sqrt{3,136} =56[/tex]

Therefore, the minimum speed that the stone should be thrown so as to reach a height of 49 feet is 56 feet per second.

Graph the equation on the coordinate plane.

How would I graph it?

y=12x

Answers

Just go 12 on the x axis you stay on the x axis, because you dont have a Y intercept. Then draw a vertical line from the point 

12 on the x axis you stay on the x axis, because you dont have a Y intercept. Then draw a vertical line from the point

What is graph?

The graph of a function is the representation in the Cartesian plane of an algebraic expression.

Let us consider the equation y=12x.

x              0        1        2        3

y=12x       0       12      24       36

Now plot the values of (x,y) on the graph.

y=12 x has slope 12 and it does not have y intercept.

So 12 on the x axis you stay on the x axis, because you dont have a Y intercept. Then draw a vertical line from the point

Hence the graph is given in the attachment.

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ordering numbers from greatest to least is called putting them in *blank* order

Answers

operative order hope it helped
operative order :)
sorry it took me so long to answer it
i space out a lot due to ADHD lol
i was thinking about slime
yay slime

There are 15 puppies in a photograph, and 11 of them have their eyes open. How many puppies have their eyes closed?

11 – c = 15

c – 11 = 15

15 + c = 11

11 + c = 15

Answers

The puppies have their eyes closed, 11 + c = 15.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Total puppies= 15

Puppies who opened their eyes = 11

let the number of puppies who have not open-end their eyes be c.

so, puppies have their eyes closed

c= 15 - 11

or, 11 + c = 15

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what is the product (8 x 10^2) x (2.5 x 10^2)
a.2 x 10^2
b.2 x 10^3
c.2 x 10^4
d.2 x 10^5

Answers

Answer:

D) 2*10^5

Step-by-step explanation:

7 + 5r + 3 + 5 = 1 + 7r

Answers

7+5r+3+5=1+7r
15+5r=1+7r
-5r=-5r
15=1+2r
-1=-1
14=2r
7=r
7+5r+3+5=1+ 7r
15+5r=1+7r
14=2r
r=7

3y + 5z + 8y - 3z

A: 11y + 5z
B: 14y + 2z
C: 14y + 8z
D: 16yz

Answers

Combine like terms:
[tex]3y + 5z + 8y - 3z = (3y + 8y) + (5z - 3z) = 11y + 2z[/tex]

So you would choose A confidently

Forty people were randomly sampled and surveyed as to the number of pets in their household. The results are listed below. 1 1 0 4 1 0 1 2 3 5 2 0 2 0 3 1 2 0 0 1 0 4 0 0 3 1 0 0 2 1 0 0 4 0 1 3 5 0 2 1 What is the mean, median, and mode of the household pet data?

Answers

The answers are:
1.4
1
0

Answer : The mean, median, and mode of the household pet data is, 1.4, 1 and 0 respectively.

Step-by-step explanation :

Mean : It is determine by adding all the numbers then divided by how many numbers there are.

[tex]Mean=\frac{\text{Sum of outcomes}}{\text{Number of outcomes}}[/tex]

Median : It is the middle term that is sorted by the list of numbers. It is determine by placing the numbers in increasing order.

For odd observations the formula will be: [tex]\frac{n+1}{2}[/tex]

For even observations:

First find the value at position [tex]\frac{n}{2}[/tex]

Second find the value at position [tex]\frac{n+1}{2}[/tex]

Then find that average of two values to get the median.

Mode : It is defined as the value that appears most in a set of data.

As we are given that the set of data:

1, 1, 0, 4, 1, 0, 1, 2, 3, 5, 2, 0, 2, 0, 3, 1, 2, 0, 0, 1, 0, 4, 0, 0, 3, 1, 0, 0, 2, 1, 0, 0, 4, 0, 1, 3, 5, 0, 2, 1

First we have to placing the numbers in increasing order.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5

Now we have to determine the mean.

[tex]Mean=\frac{\text{Sum of outcomes}}{\text{Number of outcomes}}[/tex]

Sum of outcomes = 1+1+0+4+1+0+1+2+3+5+2+0+2+0+3+1+2+0+0+1+0+4+0+0+3+1+0+0+2+1+0+0+4+0+1+3+5+0+2+1 = 56

[tex]Mean=\frac{56}{40}=1.4[/tex]

The mean of the household pet data is, 1.4

Now we have to determine the median.

For even data:

[tex]\frac{n}{2}[/tex] and [tex]\frac{n+1}{2}[/tex]

Here, n = 40

[tex]\frac{40}{2}[/tex] and [tex]\frac{40+1}{2}[/tex]

20 and 20.5

The number of pets at 20th position and 21th position is, 1 and 1 respectively.

Then we have to take an average of two values.

[tex]\frac{1+1}{2}=1[/tex]

The median of the household pet data is, 1

Now we have to determine the mode.

In the given set of data, 0 appears 15 times, 1 appears 10 times, 2 appears 6 times, 3 appears 4 times, 4 appears 3 times and 4 appears 2 times.

The value that appears most in a set of data is, 0

The mode of the household pet data is, 0

Graph the inequality: –2(y – 2) < 2(y – 4)

Answers


y>3y>3 is your answer for that problem.

A building is 1 ft from a 12​-ft fence that surrounds the property. A worker wants to wash a window in the building 1515 ft from the ground.ground. He plans to place a ladder over the fence so it rsts against the building.​ (See the​ figure.) He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a​ foot, how long a ladder will he​ need?

Answers

Final answer:

Using the Pythagorean Theorem for the given right triangle, we calculated that the worker would need a ladder of at least 25 feet in length to reach the window.

Explanation:

The problem described can be solved by using the Pythagorean Theorem, which is appropriate for any right triangle. In the given problem, we have a right triangle - one side is the distance from the fence to where the ladder touches the building (12ft + 1ft + 9ft = 22ft), the other side is the height of the window from the ground (15ft), and the hypotenuse is the length of the ladder we need to find.

According to the Pythagorean theorem: [tex]A^2 + B^2 = C^2[/tex]. If we plug in our values, it would look like [tex]15^2 + 22^2 = C^2[/tex]. After carrying out the operations, we find that C^2 = 625.

To find the length of the ladder (C), we take the square root of 625, which is 25ft. So, the worker needs a ladder that is at least 25 feet long.

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To convert 5 square meters to square yards, multiply 5 by 1.196

Answers

1 square meter is about 1.196 yards. 5 square meters *1.196 square yards
This equation is true/correct.

Jane has 7 tealight candles Aisha has 5 times more candles than Jane how many candles does Aisha have?

Answers

7 x 5 = 35 candles

You would multiply Jane's 7 candlesticks by 5 because "times more" means to multiply.
Final answer:

It's a basic multiplication problem. Simply multiply the number of candles Jane has (7), by 5, which equals 35. So, Aisha has 35 candles.

Explanation:

The problem presented is a multiplication problem. We're told that Aisha has 5 times more tealight candles than Jane.

by calculating how many candles does Aisha have,

To find out how many candles Aisha has, we can multiply the number of candles Jane has (which is 7) by 5. So, the calculation will be as follows: 7 (candles) * 5 = 35 candles. by using basic multiplication i.e. 7*5 = 35.

Therefore, Aisha has 35 candles.

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What percent of 300 is 0.6

Answers

The correct answer would be 1.8.


Keep in mind that "percent" means "for each 100." What the question is asking is: "If I have a certain amount for each of the hundreds in 300, what amount do I need for that total to be 0.6?"

Some things to ask yourself:
- How many hundreds are in 300?
- What do I need to multiply that number by to get 0.6?

it costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. The cost for 15 people equals $ ___. (Input whole number only.)

Answers

100+4n is the equation so you have to fill in the gaps. The equation would turn out like this: 100+4(15) which turns to 100+60 and then the answer would be $160.

Answer:

160

Step-by-step explanation:

100 + 4 (15)

100 + 60

160

If you're currently making $8.75 per hour and you're offered a new job that pays $9.47 per hour, how much more would you make per hour at the new job?

Answers

You'd make 72 cents, or $0.72 more per hour, because that is the difference of $8.75 and $9.47.
72 cents. 9.47-8.75=0.72=72 cents.
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