Question

what is the slope of the line through $(-9, 6)$ and $(-6, -9)$? choose 1 answer: a $-5$ b $\frac{1}{5}$ c $-\frac{1}{5}$ d $5$

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(-9,6)$ and $(x_2,y_2)=(-6,-9)$. Substitute into formula:
$m=\frac{-9-6}{-6-(-9)}$

Step3: Simplify numerator and denominator

Calculate numerator: $-9-6=-15$
Calculate denominator: $-6-(-9)=-6+9=3$

Step4: Compute final slope

$m=\frac{-15}{3}=-5$

Answer:

A. $-5$