what is the slope of the line that passes through the points (-1, -7) and (1, -13)? write your answer in…
what is the slope of the line that passes through the points (-1, -7) and (1, -13)? 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 $(x_1,y_1)=(-1,-7)$ and $(x_2,y_2)=(1,-13)$.
Step3: Substitute values into formula
$m=\frac{-13-(-7)}{1 - (-1)}=\frac{-13 + 7}{1+1}$.
Step4: Simplify the expression
$\frac{-13 + 7}{1+1}=\frac{-6}{2}=-3$.
Answer:
$-3$