To answer this question we will use the following formula for the slope of a line that passes through (x₁,y₁) and (x₂,y₂):
[tex]m=\frac{y_2-y_1}{x_2-x_1}\text{.}[/tex]
Substituting (x₁,y₁)=(8,-9) and (x₂,y₂)=(-3,4) in the above formula, we get:
[tex]m=\frac{4-(-9)}{-3-8}\text{.}[/tex]
Simplifying the above result we get:
[tex]m=\frac{4+9}{-11}=\frac{13}{-11}=-\frac{13}{11}\text{.}[/tex]
Answer:
[tex]-\frac{13}{11}\text{.}[/tex]
