what is the slope of the line that passes through the points (-4,2) and (-5,0)? write your answer in…
what is the slope of the line that passes through the points (-4,2) and (-5,0)? 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 values of $x_1,y_1,x_2,y_2$
Let $(x_1,y_1)=(-4,2)$ and $(x_2,y_2)=(-5,0)$.
Step3: Substitute values into the formula
$m=\frac{0 - 2}{-5-(-4)}=\frac{-2}{-5 + 4}$.
Step4: Simplify the expression
$m=\frac{-2}{-1}=2$.
Answer:
$2$