what is the slope of the line that passes through the points (1, -6) and (-2, -8)? write your answer in…
what is the slope of the line that passes through the points (1, -6) and (-2, -8)? 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 $(x_1,y_1)=(1, - 6)$ and $(x_2,y_2)=(-2,-8)$.
Step3: Substitute values into formula
$m=\frac{-8-(-6)}{-2 - 1}=\frac{-8 + 6}{-3}=\frac{-2}{-3}=\frac{2}{3}$
Answer:
$\frac{2}{3}$