what is the slope of the line that passes through the points (5, 8) and (11, 5)? write your answer in…
what is the slope of the line that passes through the points (5, 8) and (11, 5)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope $m$ 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 $(x_1,y_1)=(5,8)$ and $(x_2,y_2)=(11,5)$.
Step3: Substitute values into formula
$m=\frac{5 - 8}{11 - 5}=\frac{-3}{6}$.
Step4: Simplify the fraction
$m=-\frac{1}{2}$.
Answer:
$-\frac{1}{2}$