Question 239368
Your first step is to find the slope.

Let m = slope

m = difference of y coordinates divided by the difference of x coordinates

m = (-2 - 2)/(-6 -(-7))

m = -4/(-6 + 7)

m = -4/1

m = -4

The slope is -4.

To write in slope-intercept form, y = mx + b, we need to use the point-slope formula.

y - y1 = m(x - x1) is the point-slope formula.

We use one of the given points and the slope to find our equation.

I will use (-7, 2) but you can use the other point if you want to.

We plug the slope and one point into the point-slope formula and solve for y.

y - 2 = -4(x -(-7))

y - 2 = -4(x + 7)

y - 2 = -4x - 28

y = -4x - 28 + 2

y = -4x - 26

Did you follow?