Which is the equation of the line that passes through the points (-4, 3) and (2,-6)

First we have to find the slope by dividing the difference of the ys over the xs

-6 - 3 = -9 (y)
2 - -4 = 6 (x)

the slope is -9/6 or -3/2

now we plug the slop along with a set of points into the slope intercept formula (y=mx+b) to find b (the y intercept)

-6 = 2(-3/2) + b
-6 = -3 + b
-3 = b

so the equation would be y = (-3/2)x - 3