Question

what is the slope of this line? (2, 7) (-2, 1)

Explanation:

Step1: Identify 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: Assign point values

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

Step3: Substitute values into formula

$m=\frac{7 - 1}{2-(-2)}=\frac{6}{4}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$