find the slope of the line that passes through (10, 8) and (1, 15). simplify your answer and write it as a…

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

Step2: Identify the points

Let $(x_1,y_1)=(10,8)$ and $(x_2,y_2)=(1,15)$.

Step3: Substitute values into formula

$m=\frac{15 - 8}{1 - 10}=\frac{7}{-9}=-\frac{7}{9}$

Answer:

$-\frac{7}{9}$