find the slope of the line through the points (-4, -8) and (2, -5).\na $\frac{1}{2}$\nb $\frac{13}{2}$\nc…
find the slope of the line through the points (-4, -8) and (2, -5).\na $\frac{1}{2}$\nb $\frac{13}{2}$\nc 2\nd $\frac{3}{4}$
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 $(x_1,y_1)=(-4,-8)$ and $(x_2,y_2)=(2,-5)$.
Step3: Substitute values into formula
$m=\frac{-5-(-8)}{2 - (-4)}=\frac{-5 + 8}{2+4}=\frac{3}{6}=\frac{1}{2}$.
Answer:
A. $\frac{1}{2}$