Question

a line contains the points (-2,-2) and (4,2). what is the slope of the line? (a) -\frac{2}{3} (b) \frac{3}{2} (c) \frac{2}{3} (d) -\frac{3}{2}

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

Here, $(x_1,y_1)=(-2,-2)$ and $(x_2,y_2)=(4,2)$.

Step3: Substitute values into formula

$m=\frac{2-(-2)}{4 - (-2)}=\frac{2 + 2}{4+2}=\frac{4}{6}=\frac{2}{3}$

Answer:

C. $\frac{2}{3}$