Question

what is the slope of the line that passes through the points (-1, -7) and (1, -13)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Assign coordinates

Let $(x_1, y_1)=(-1, -7)$ and $(x_2, y_2)=(1, -13)$

Step3: Substitute values into formula

$m = \frac{-13 - (-7)}{1 - (-1)} = \frac{-13 + 7}{1 + 1}$

Step4: Simplify the expression

$m = \frac{-6}{2} = -3$

Answer:

-3