what is the slope of the line that passes through the points (-7, -2) and (-2, -22)? write your answer in…
what is the slope of the line that passes through the points (-7, -2) and (-2, -22)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.
Step2: Identify the points
Let $(x_1,y_1)=(-7,-2)$ and $(x_2,y_2)=(-2,-22)$.
Step3: Substitute values into formula
$m=\frac{-22-(-2)}{-2 - (-7)}$.
Step4: Simplify numerator and denominator
The numerator is $-22 + 2=-20$, and the denominator is $-2+7 = 5$. So $m=\frac{-20}{5}$.
Step5: Calculate the slope
$m=-4$.
Answer:
$-4$