find the slope of the line that passes through (-25, 2) and (41, 4). 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, $x_1=-25$, $y_1 = 2$, $x_2=41$, $y_2 = 4$.

Step3: Substitute values

$m=\frac{4 - 2}{41-(-25)}=\frac{2}{41 + 25}$.

Step4: Simplify

$m=\frac{2}{66}=\frac{1}{33}$.

Answer:

$\frac{1}{33}$