HELP!!!!!! Determine the equation of the line with slope −4 that passes through the point M(−2, 1).​

HELP!!!!!! Determine The Equation Of The Line With Slope 4 That Passes Through The PointM(2, 1).

Answers

Answer 1

Answer:

y = -4x - 7

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -4 and the point M(-2, 1).

The equation of a line:

[tex]y=-4x+b[/tex]

Put the coordinates of the point M to the equation of a line:

[tex]1=-4(-2)+b[/tex]

[tex]1=8+b[/tex]      subtract 8 from both sides

[tex]-7=b\to b=-7[/tex]

Finally:

[tex]y=-4x-7[/tex]


Related Questions

Solve for X: |3x + 12| =18

Answers

Answer:

2

Step-by-step explanation:

3x+12=18

subtract 12

    3x=6

divide by 3

      x=2

Answer:

x = 2, -10

Step-by-step explanation:

3x + 12 = 18

-3x - 12 = 18

3x = 6

-3x = 30

x = 2

x = -10

The average number of accidents is 3 per month, what is the probability of 1 accident?

Answers

Hello!

The answer is: 33.33%

Why?

Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

[tex]Probability=\frac{FavorableOutcomes}{Outcomes}*100[/tex]

Where,

Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.

Outcomes are the possible occurrence of the event, for this case, it's equal to 3.

So, by substituting we have:

[tex]Probability=\frac{1}{3}*100[/tex]

[tex]Probability=0.3333*100=33.33[/tex]

So, the probability will be equal to 33.33%

Have a nice day!

Which statement above is true about the value of x

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Angles in a triangle equal 180 degrees

180 - (38 + 39) = 103

Angles on a straight line equal 180 degrees

180 - 103 = 77

The correct statement would be the first one as x is greater than 38

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

A population of 550 rabbits is increasing by 7.5% each year. In about how many years will the population be over 1000?
A.) 9 years
B.) 5 years
C.)7 years
D.)15 years

Answers

Answer:

D.) 15 years

Step-by-step explanation:

7.5% of 550 rabbits would be 41.25

if you are increasing till you get over 1,000

it would take 10.9 almost 11 years to get to 1,000

meaning it would be 15 years when your over 1,000 giving you 1,168.75

Many has 40 ounce of butter that he is cutting into 1.25 ounces . How many slices will he have?

Answers

He would have 32 slices of butter.

The student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces by dividing the total amount by the size of each slice.

The student wants to know how many slices of butter they can get from 40 ounces if they are cutting it into 1.25 ounces each. To find out, they need to divide the total amount of butter by the size of each piece.

First, take the total amount of butter, which is 40 ounces.

Divide 40 ounces by the size of each slice, which is 1.25 ounces.

Calculate the division: 40 / 1.25 = 32 slices.

Therefore, the student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces.

What property is illustrated in the equation? 7 + 1/2 = 1/2 + 7

Answers

Communicative

Hope this helps!

I REALLY NEED HELP!! PLEASE DO IT FAST!!

8,000÷(28x+4)−15=25

Answers

Answer:

x = 7

Step-by-step explanation:

Order of operations rules require that we do multiplication and division BEFORE addition and subtraction.

Let's start by simplifying the expression.  Adding 15 to both sides results in:

8,000÷(28x+4) = 40.

Multiplying both sides by (28x + 4) results in the simpler:

8000 = 40(28x + 4).

Dividing both sides by 40 results in:

200 = 28x + 4, or

196 = 28x

Solve for x by dividing both sides by 28:

x = 7

Find the geometric mean of 12 and 27. Write

Answers

Answer:

The geometric mean is 18

Step-by-step explanation:

To find the geometric mean of two numbers, start by multiplying them together.

12 * 27 = 324

Now take the square root of that number

√324 = 18

HELP PLSSSS ASAP!!!

Answers

The tenth in 149.95 is 9. To round it to the nearest tenth, use the hundredth. The hundredth is 5. When rounding, always round up when it is a 5. 95 should be rounded to 100, but it is a decimal. 100 as a decimal is equal to 1. 149 + 1 = 150.

Answer:

149.95 becomes 150 when rounded to the nearest tenth because 149.95 is only .5 away from 150. If it was something like 149.4 it would be rounded to 149.

Find the value of x. The diagram is not to scale.

Answers

Answer:

x = 33

Step-by-step explanation:

There are 180 degrees in a triangle.

There are also 180 degrees in a straight line.

180 - 105 = 75.

Thus, 75+72+x=180.

x=33

Answer:

x=33

Step-by-step explanation:

Step one :

From the screen shot

The sum of angles on a straight line is 180° hence 180°-105°=75°

The unknown angle is 75°

Step two :

To find the angle x° the sum of angles in a triangle is 180°

Therefore

x°+72°+75°=180°

x+147=180

x=180-147

x=33°

What is the distance between -13 and 13 on a number line

Answers

Answer:

26 units

Step-by-step explanation:

Due to:

in the rect line, left to zero = 13 (absolute value)

in the rect line, right to zero = 13 (absolute value)

So the sum of each absolute value is the distance.

Best regards

If you mean absolute value, it is 13. If you are talking about distance, it is 26. -13 to 0 is 13. (-13 + 13 = 0) Then, you add 13 again, to get from 0 to 13. (0 + 13 = 13.)

A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?

Answers

Answer:

2/13

Step-by-step explanation:

There are 6 + 4 + 3 = 13 balls all together.

If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left

There are 6 red balls. 6/12 = 1/2

The probability of the way this happens is 1/2 * 4/13 = 2/13

Help me please :) I don’t wanna fail

Answers

Answer:

12

there are 6 combinations with sausage and 6 with red sauce and its asking how much outcomes include sausage so you add the two together and get 12

Joe has read 140 pages of his 300 page book what percent of the book has he read

Answers

Answer:

He has read 46.66 %

Step-by-step explanation:

Lets find the percentage

total pages are 300 and he has read 140

So

140/300 = 0.4666

Converting this into percentage again

We will multiply the decimal by 100

0.4666 x 100 = 46.66 %

If AD equals 3X +3 CD equals X +9, what is the value of X?

Answers

Answer:

x=3

Step-by-step explanation:

2x+3=9

2x=6

x=3

The graph of f(x) is shown. What is the value of f (x) when x= -2?

Please explain this question to me because i really dont understand it and id like to learn.​

Answers

C. 3.5
You have to go to -2 on the “X axis” and find the corresponding “Y” value on the line.

may somebody help me please and thank you.

Answers

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Plug in the x and y coordinates into the equation and see if the values hold true.

Test (1,11):

11=8(1)+3

11=8+3

11=11

TRUE

Test (-1,-5):

-5=8(-1)+3

-5=(-8)+3

-5=-5

TRUE

C. Both (1,11) and (-1,-5)

While taking inventory at her bakery, Ruby noticed that she had 5⁄6 pound of cinnamon yesterday, but now had only 2⁄3 pound. How much more cinnamon did Ruby have yesterday?

Answers

Answer:

1/6 of a pound

Step-by-step explanation:

Multiply both the numerator and denominator for a common denominator.

2/3 * 2/2 = 4/6.

Then subtract to find out how much more she had yesterday.

5/6-4/6=1/6.

1/6 pound

Match the denominator

2/3 = 4/6

Subtract

5/6 - 4/6 = 1/6

What is the slope of the line show below?

Answers

Algebra form: y1 - y2, and x1 - x2.

( 2 - 1 ) ( 6 - 3 ).

= 1/3.

slope = 1/3.

PLEASE HELP 15 POINTS 63m - 42 =

Answers

Answer:

9m - 6

Step-by-step explanation:

I don't know if you want it to be factored or simplified, but the greatest common factor is 7 so you can use that that so simplify the equation. Or you can substitute values for x.  

Write the following as algebraic expressions:

On each of n plates there are k apples and m pears. What is the total number of fruit are there on these plates?

PLEASE HELP!

50 points!

Answers

Total fruit = (m+k)n

Explanation:

To find the number of fruit on one plate, we add together the number of apples and pears. Next to find the total number of fruit on n plates, we can multiply (m+k) by n.

Hope this helps :)

What is the vertex of the quadratic function with a negative a value?

A) (2, 3)

B) (3, 2)

C) (-4, -4)

D) (-1, -0.5)

Answers

Answer:

C) (-4, -4)

Step-by-step explanation:

If y = ax² + bx + c has negative value of a, then a parabola is open down.

Look at the picture.

Vertex  = (-4, -4)

Answer:

C)   (-4, -4)

Step-by-step explanation:

x+2y=6 how do I solve this ?​

Answers

Answer:

The answer is 4y

Step-by-step explanation:

This is because when you have a variable and 2 numbers you work backwards to find the number of the x so you do the opposite of adding you subtract,  2 - 6 remember you are working backwards but now you have the answer 4 but there is a variable next to the two so you so you add that to the four.

What are the factors of x2 − 25?

(x − 5)(x − 5)
(x + 5)(x − 5)
(x − 1)(x + 25)
Prime

Answers

Answer:

)x + 5)(x - 5)

Step-by-step explanation:

x² - 25 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

x² - 25 = x² - 5² = (x + 5)(x - 5)

Which of the following equations represents a line that is parallel

Answers

Answer:

B

Step-by-step explanation:

A parallel line means equal m values, so the slope of the equation has to be 3.

Then, we can plug in the (1,6) to each of the equations with 3 as a slope and see if they are equal to each other.

B. 6 = 3 + 3

B. 6 = 6

So B is the correct equation.

how do you locate fraction 4/1 on a number line

Answers

Answer:

Move 4 units to the right-hand side of the origin point, 0.

Step-by-step explanation:

A number line in mathematics is a straight line marked with numbers to the left(negative numbers) and to the right (positive numbers), at equal intervals along the line.The origin of the number line is 0. 4/1 is similar to positive 4 which is located 4 units to the right-handside of 0.

Final answer:

To locate the fraction 4/1 on a number line, you need to divide the number line into 1 part and find the 4th part.

Explanation:

To locate the fraction 4/1 on a number line, you need to understand that fractions represent a part of a whole. In this case, the fraction 4/1 means that you are dividing the number line into 1 part and looking for the position of the 4th part. Here's how you can do it:

Draw a number line with appropriate markings, such as whole numbers.Divide the number line into equal parts based on the denominator of the fraction. In this case, since the denominator is 1, you don't need to divide further, as every part is the same size.Locate the numerator on the number line. In this case, 4 is equivalent to four parts of the whole number line.Mark the location of 4 on the number line.

Solve the inequality 3k > 5k+12

Answers

Alright, let's solve this problem! :)

First we need to subtract 5k from both sides.

3k−5k>12

Then we simplify 3k - 5k to -2k.

-2k > 12

Now we divide both sides by -2.

k < -12/2

Now we simplify 12/2 to 6.  

k < -6

✔️Done!

Have an amazing day!

can someone explain please​

Answers

Answer:

[tex]\large\boxed{B.\ \dfrac{7}{4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}[/tex]

a farmer grew x pounds of rice last year. This year, she grew 8% more rice than she grew last year. which expression represent the number of pounds of rice that the farmer grew this year?

Answers

Answer:108%*x

Step-by-step explanation: 100%+8%=108% so it is 108%*x

Final answer:

The expression representing the amount of rice the farmer grew this year is 1.08x, which includes the initial amount plus an additional 8% increase.

Explanation:

If a farmer grew x pounds of rice last year, and this year she grew 8% more rice than she grew last year, the number of pounds of rice she grew this year can be represented by an algebraic expression. To calculate an increase of 8%, we multiply the original amount (x) by 8% (or 0.08) and then add it to the original amount. The expression representing the total weight of rice grown this year is:

x + 0.08x

Or, combining like terms to simplify:

1.08x

This expression takes into account the original production and adds the additional 8% increase in rice production for this year.

each squuare on the grid paper is 1 square in find the area of the figure​

Answers

Answer:

Count up however many squares are in the grip paper, and if it's not all the way full call it 1/2. Then add your half squares together, then add your whole squares to your half squares

Step-by-step explanation:

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