find the slope of the line through the points (-1, -4) and (2, -2).\na $-\\frac{2}{3}$\nb -2\nc…
find the slope of the line through the points (-1, -4) and (2, -2).\na $-\\frac{2}{3}$\nb -2\nc $\\frac{3}{2}$\nd $\\frac{2}{3}$
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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Let $(x_1,y_1)=(-1,-4)$ and $(x_2,y_2)=(2,-2)$.
Step3: Substitute values into formula
$m=\frac{-2-(-4)}{2 - (-1)}=\frac{-2 + 4}{2+1}=\frac{2}{3}$.
Answer:
D. $\frac{2}{3}$