what is the slope of the line that passes through the points (-7, -8) and (-5, -6)? write your answer in…
what is the slope of the line that passes through the points (-7, -8) and (-5, -6)? 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 points
Let $(x_1,y_1)=(-7,-8)$ and $(x_2,y_2)=(-5,-6)$.
Step3: Substitute values into formula
$m=\frac{-6-(-8)}{-5 - (-7)}$.
Step4: Simplify the numerator and denominator
The numerator $-6-(-8)=-6 + 8=2$, and the denominator $-5-(-7)=-5 + 7 = 2$. So $m=\frac{2}{2}=1$.
Answer:
1