Question

find the slope of the line that passes through (3, 1) and (6, 9). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 3,y_1=1,x_2 = 6,y_2 = 9$.

Step2: Substitute values

$m=\frac{9 - 1}{6 - 3}=\frac{8}{3}$

Answer:

$\frac{8}{3}$