what is the slope of the line that passes through the points (-7, -2) and (-15, -14)? 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-7,-2)$ and $(x_2,y_2)=(-15,-14)$.

Step2: Substitute values

$m=\frac{-14-(-2)}{-15 - (-7)}$. First, simplify the numerator: $-14-(-2)=-14 + 2=-12$. Then, simplify the denominator: $-15-(-7)=-15 + 7=-8$. So, $m=\frac{-12}{-8}$.

Step3: Simplify the fraction

$\frac{-12}{-8}=\frac{12}{8}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$