what is the slope of the line that passes through the points (-9, -5) and (-1, -9)? write your answer in…

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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-9,-5)$ and $(x_2,y_2)=(-1,-9)$.

Step3: Substitute values into formula

$m=\frac{-9-(-5)}{-1-(-9)}=\frac{-9 + 5}{-1 + 9}$.

Step4: Simplify the numerator and denominator

The numerator $-9 + 5=-4$, and the denominator $-1+9 = 8$. So $m=\frac{-4}{8}$.

Step5: Reduce the fraction

Dividing both the numerator and denominator by 4, we get $m=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$