what is the slope of the line that passes through the points (9,5) and (21, -5)? write your answer in…
what is the slope of the line that passes through the points (9,5) and (21, -5)? 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Here, $x_1 = 9,y_1=5,x_2 = 21,y_2=-5$.
Step3: Substitute values into formula
$m=\frac{-5 - 5}{21 - 9}=\frac{-10}{12}$.
Step4: Simplify the fraction
$\frac{-10}{12}=-\frac{5}{6}$.
Answer:
$-\frac{5}{6}$