Question

find the slope of the line passing through the points (-7, -7) and (-3, 6).

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 coordinates

Let $(x_1,y_1)=(-7,-7)$ and $(x_2,y_2)=(-3,6)$

Step3: Substitute values into formula

$m=\frac{6-(-7)}{-3-(-7)}=\frac{6+7}{-3+7}$

Step4: Calculate numerator and denominator

$m=\frac{13}{4}$

Answer:

$\frac{13}{4}$