what is the slope of the line that passes through the points (-4, -10) and (-7, -19)? write your answer in…
what is the slope of the line that passes through the points (-4, -10) and (-7, -19)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Let $(x_1,y_1)=(-4,-10)$ and $(x_2,y_2)=(-7,-19)$.
Step3: Substitute values into formula
$m=\frac{-19-(-10)}{-7 - (-4)}=\frac{-19 + 10}{-7+4}=\frac{-9}{-3}$.
Step4: Simplify the fraction
$\frac{-9}{-3}=3$.
Answer:
$3$