find the slope of the line that passes through (1, 2) and (10, 10). 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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $x_1 = 1,y_1=2,x_2 = 10,y_2 = 10$.

Step3: Substitute values into formula

$m=\frac{10 - 2}{10 - 1}=\frac{8}{9}$.

Answer:

$\frac{8}{9}$