Question

find the slope of the line that goes through the points (15,-6) and (-5,-11).
slope: $m =

enter your answer as an integer or a reduced fraction in the form a/b

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

Let $(x_1,y_1)=(15,-6)$ and $(x_2,y_2)=(-5,-11)$.

Step3: Substitute values

$m=\frac{-11-(-6)}{-5 - 15}=\frac{-11 + 6}{-20}=\frac{-5}{-20}$.

Step4: Simplify the fraction

$m=\frac{1}{4}$.

Answer:

$\frac{1}{4}$