what is the slope of the line that passes through the points (-2,6) and (-12,2)? write your answer in…
what is the slope of the line that passes through the points (-2,6) and (-12,2)? write your answer in simplest form.
Answer
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 $(x_1,y_1)=(-2,6)$ and $(x_2,y_2)=(-12,2)$.
Step3: Substitute values into formula
$m=\frac{2 - 6}{-12-(-2)}=\frac{-4}{-12 + 2}=\frac{-4}{-10}$.
Step4: Simplify the fraction
$m=\frac{2}{5}$.
Answer:
$\frac{2}{5}$