what is the slope of the line that passes through the points (2,9) and (18, -3)? write your answer in…
what is the slope of the line that passes through the points (2,9) and (18, -3)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope formula for 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 values of coordinates
Let $(x_1,y_1)=(2,9)$ and $(x_2,y_2)=(18, - 3)$.
Step3: Substitute values into formula
$m=\frac{-3 - 9}{18 - 2}=\frac{-12}{16}$.
Step4: Simplify the fraction
$m =-\frac{3}{4}$.
Answer:
$-\frac{3}{4}$