Question

find the slope of the line that passes through (2, 6) and (5, 10). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign point values

Let $(x_1,y_1)=(2,6)$ and $(x_2,y_2)=(5,10)$.

Step3: Substitute into formula

$m=\frac{10-6}{5-2}=\frac{4}{3}$

Answer:

$\frac{4}{3}$