find the slope of the line passing through the points (-5, 3) and (7, 9).

Answer:

$\frac{1}{2}$

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 $(x_1,y_1)=(-5,3)$ and $(x_2,y_2)=(7,9)$.

Step3: Substitute values

$m=\frac{9 - 3}{7-(-5)}=\frac{6}{7 + 5}$.

Step4: Simplify the fraction

$m=\frac{6}{12}=\frac{1}{2}$.