Question

What is the slope of the line between (-4,4) and (-1, -2)

Answer 1

m = -2 
I believe that would be your answer.

Answer 2

Let be A(-4,4) and B(-1,-2).
When you need to find the slope of a line given the coordinates of 2 points, the slope can be found be dividing the subtraction of Y of both points as yB-yA by the subtraction of their Xs so xB-xA.
yB = -2, yA = 4, xB = -1, xA = -4
Slope = yB-yA / xB-xA = -2 - 4 / -1 - (-4) = -6/3 = -2.

So the slope of the line between (-4,4) and (-1,-2) is -2.

Hope this Helps! :)