Question

Find the slope of the line passing through the following points
$M(4,0)$ and $Q(-3,-2)$

• A. $\frac{2}{7}$
• B. $\frac{7}{3}$
• C. $\frac{1}{2}$
• D. $\frac{8}{5}$

Answer 1

The correct option is A $\frac{2}{7}$

Slope of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Therefore, the slope of the line passing through the points $M(4,0)$ and $Q(-3,-2)$ is:

$m=\frac{-2-0}{-3-4}=\frac{-2}{-7}=\frac{2}{7}$

Hence, the slope of the line is $\frac{2}{7}$.