what is the slope of the line that passes through the points (0, -10) and (-4, -11)? write your answer in…
what is the slope of the line that passes through the points (0, -10) and (-4, -11)? 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 values
Let $(x_1,y_1)=(0, - 10)$ and $(x_2,y_2)=(-4,-11)$.
Step3: Substitute values into formula
$m=\frac{-11-(-10)}{-4 - 0}=\frac{-11 + 10}{-4}=\frac{-1}{-4}$.
Step4: Simplify the fraction
$m=\frac{1}{4}$.
Answer:
$\frac{1}{4}$