Question

The slope of the line passing through the points $M(4,0)$ and $N(-3,-2)$ is

• A. $\frac{2}{7}$
• B. $-2$
• C. $\frac{2}{-7}$
• D. $2$

Answer 1

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

Slope of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $\frac{y_2-y_1}{x_2-x_1}.$
The slope of line passing through $M(x_1,y_1)=(4,0)$ and $N(x_2,y_2)=(-3,-2)$ is

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

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