Question

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in

slope-intercept form.

Answer 1

Answer: y = - 3/2x + 5

Explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

Slope: -15/10 = -3/2

The slope is -3/2

Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.

8 = -3/2(-2) + b

8 = 3 + b

-3 -3

b = 5

Answer 2

Explanation:

`y=mx+b\\ \\ m=(-7-8)/(8-\ -2)=(-15)/(10)=\ -(3)/(2)\\ \\ y=\ -(3x)/(2)+b,\ (-2,8)\\ \\ 8=\ -(3(-2))/(2)+b\\ \\ 8=3+b,\ b=5\\ \\ y=(10-3x)/(2)`