Question

what is the slope of the line that passes through the points (7, -5) and (16, 7)? write your answer in simplest form.

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 values to variables

Let $(x_1,y_1)=(7,-5)$ and $(x_2,y_2)=(16,7)$. So $x_1=7, y_1=-5, x_2=16, y_2=7$

Step3: Substitute into slope formula

$m=\frac{7-(-5)}{16-7}=\frac{7+5}{9}=\frac{12}{9}$

Step4: Simplify the fraction

$\frac{12}{9}=\frac{4}{3}$

Answer:

$\frac{4}{3}$