please help me, i have no clue what to do all it says is find the slopeof the line that passes through the given two points using ratio method.

Answer:
Δy = 9
Δx = -6
Slope = -3/2
Step-by-step explanation:
The slope formula is the change in y (Δy) over change in x (Δx).
Δy = [tex]y_2-y_1[/tex]
Δx = [tex]x_2-x_1[/tex]
We are given the points of (5,-3) and (-1,6).
[tex]m=\frac{6-(-3)}{-1-5}=\frac{9}{-6}=\boxed{-\frac{3}{2}}[/tex]
The slope is -3/2.
Hope this helps.