Question

what is the slope of the line through (-7, -2) and (-6, 7)? choose 1 answer: a $-\frac{1}{9}$ b -9 c 9 d $\frac{1}{9}$

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 point coordinates

Let $(x_1,y_1)=(-7,-2)$ and $(x_2,y_2)=(-6,7)$

Step3: Substitute into formula

$m=\frac{7-(-2)}{-6-(-7)}=\frac{7+2}{-6+7}$

Step4: Calculate slope value

$m=\frac{9}{1}=9$

Answer:

C. 9