Question

find the slope of the line that goes through the points (3,5) and (-5,2).
slope: m =
enter your answer as an integer or a reduced fraction in the form a/b
question help: video

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points values

Let $(x_1,y_1)=(3,5)$ and $(x_2,y_2)=(-5,2)$.

Step3: Substitute values into formula

$m=\frac{2 - 5}{-5 - 3}$.

Step4: Simplify the numerator and denominator

The numerator $2 - 5=-3$, and the denominator $-5 - 3=-8$. So $m=\frac{-3}{-8}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$