what is the slope of the line that passes through the points (-4,5) and (-7,8)? write your answer in…
what is the slope of the line that passes through the points (-4,5) and (-7,8)? 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 $(x_1,y_1)=(-4,5)$ and $(x_2,y_2)=(-7,8)$.
Step3: Substitute values into formula
$m=\frac{8 - 5}{-7-(-4)}=\frac{3}{-7 + 4}$.
Step4: Simplify the expression
$m=\frac{3}{-3}=-1$.
Answer:
$-1$