what is the slope of the line that passes through the points (2,8) and (-3,14)? 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(2,8)$ and $(x_2,y_2)=(-3,14)$.

Step3: Substitute values into formula

$m=\frac{14 - 8}{-3 - 2}=\frac{6}{-5}=-\frac{6}{5}$

Answer:

$-\frac{6}{5}$