Question

find the slope of the line that passes through the points (2, -5) and (7, 1). step 1: choose (x1, y1). x1 =, y1 =

Explanation:

Step1: Define the slope - formula

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

Step2: Choose the point $(x_1,y_1)$

Let $(x_1,y_1)=(2,-5)$ and $(x_2,y_2)=(7,1)$.

Step3: Substitute values into the slope - formula

$m=\frac{1-(-5)}{7 - 2}=\frac{1 + 5}{7 - 2}=\frac{6}{5}$

Answer:

$\frac{6}{5}$