what is the slope of the line that passes through the points $(-2,2)$ and $(-4,-1)$? write your answer in…
what is the slope of the line that passes through the points $(-2,2)$ and $(-4,-1)$? write your answer in simplest form.
Answer
Answer:
$\frac{3}{2}$
Explanation:
Step1: Recall the slope formula
The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Assign the points to the formula
Let $(x_1,y_1)=(-2,2)$ and $(x_2,y_2)=(-4,-1)$. Then $y_2 - y_1=-1 - 2=-3$ and $x_2 - x_1=-4-(-2)=-4 + 2=-2$.
Step3: Calculate the slope
$m=\frac{-1 - 2}{-4-(-2)}=\frac{-3}{-2}=\frac{3}{2}$.