Question

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

Answer: y=−2/3x−10/3

Step-by-step explanation: m=y2−y1 / x2-x1

x1=−8 , y1=2, x2=1, y2=−4.

m=(−4)−(2) / (1)−(−8)= −6/9= −2/3.

b=2 −(−2/3)x(−8)= −10/3 .

y= −2/3x−10/3.

Hope this helps

PLEASE MARK BRAINLIEST                  

Answer 2

Greetings!

Answer:

y = $\frac{-2}{3}$x - 4

Step-by-step explanation:

Firstly, you must find the gradient. This is found using the following formula:

$\frac{y2 - y1}{x2 - x1}$

Make sure that the x2 and y2 values are in the same coordinate set:

Let's set (-8 , 2) as y1 and x1, y1 = 2 and x1 = -8

That means that (1 , -4) is y2 and x2, y2 = -4 and x2 = 1

Plug the values in:

$\frac{-4-2}{1 - - 8}$

Simplified:

$\frac{-6}{9}$

Or -2/3

So the gradient is $\frac{-2}{3}$

Now, using the following equation of a line formula:

y - y1 = m(x - x1)

Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:

y1 = 2

x1 = -8

m = -2/3

y - 2 = 2/3(x - - 8)

We need to get rid of the two third fraction so we multiply the whole equation by three to cancel it out:

y * 3 = 3y

-2 * 3 = -6

-2/3 * 3 = -2

3y - 6 = -2(x - - 8)

The negative and the subtract makes it a positive:

3y - 6 = -2(x + 8)

Now we can multiply the bracket out:

-2 * x = -2x

8 * -2 = -18

So:

3y - 6 = -2x - 18

The slope form is usually:

y = mx + c

So we need to move the -6 over to the other side making it a positive 6:

3y = -2x -18 + 6

3y = -2x -12

Divide all the equation by three to get 1y:

y = $\frac{-2}{3}$x - 4

Which is the equation!

Hope this helps!