Question

find the slope of the line that passes through (66, 96) and (22, 6). 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(22,6)$ and $(x_2,y_2)=(66,96)$.

Step2: Substitute values

$m=\frac{96 - 6}{66 - 22}=\frac{90}{44}$.

Step3: Simplify fraction

$\frac{90}{44}=\frac{45}{22}$.

Answer:

$\frac{45}{22}$