find the slope of the line passing through the points (-7, 2) and (9, 6).

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, $x_1=-7,y_1 = 2,x_2=9,y_2 = 6$.

Step3: Substitute values into formula

$m=\frac{6 - 2}{9-(-7)}=\frac{4}{9 + 7}$.

Step4: Simplify the fraction

$m=\frac{4}{16}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$