what is the slope of the line that passes through the points (4,1) and (0, - 19)? write your answer in…
what is the slope of the line that passes through the points (4,1) and (0, - 19)? 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(4,1)$ and $(x_2,y_2)=(0, - 19)$.
Step2: Substitute values into formula
$m=\frac{-19 - 1}{0 - 4}=\frac{-20}{-4}$.
Step3: Simplify the fraction
$\frac{-20}{-4}=5$.
Answer:
$5$