what is the slope of the line passing through the points (7, 6) and (-2, -9)?\na $\frac{5}{3}$\nb…
what is the slope of the line passing through the points (7, 6) and (-2, -9)?\na $\frac{5}{3}$\nb $\frac{3}{5}$\nc $-\frac{5}{3}$\nd -3
Answer
Answer:
A. $\frac{5}{3}$
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
Let $(x_1,y_1)=(7,6)$ and $(x_2,y_2)=(-2,-9)$.
Step3: Substitute values
$m=\frac{-9 - 6}{-2 - 7}=\frac{-15}{-9}=\frac{5}{3}$.