find the slope of the line passing through the points (-9, -6) and (-4, 5).

Answer:

$\frac{11}{5}$

Explanation:

Step1: Recall slope - formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-9,-6)$ and $(x_2,y_2)=(-4,5)$.

Step3: Substitute values into formula

$m=\frac{5-(-6)}{-4 - (-9)}$.

Step4: Simplify numerator and denominator

The numerator $5-(-6)=5 + 6=11$, and the denominator $-4-(-9)=-4 + 9 = 5$. So $m=\frac{11}{5}$.