Answer: -2
Step-by-step explanation:
The formula to find slope passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be :_
[tex]m=\dfrac{y_2-y_1}{x-2-x_1}[/tex]
Given points : (-3, 8) and (4, -6)
Then the slope of the line passing through (-3,8) and (4,-6) will be :_
[tex]m=\dfrac{-6-8}{4-(-3)}\\\\\Rightarrow\ m=\dfrac{-14}{4+3}=-2[/tex]
Hence, the slope of line passing through (-3,8) and (4,-6) = -2