Question

Slope of the line that passes through points $(0,-2)$ and $(3,0)$ is

• A. $-\frac{3}{2}$
• B. $-\frac{2}{3}$
• C. $0$
• D. $\frac{2}{3}$

Answer 1

The correct option is D $\frac{2}{3}$

The given points are $P=(x_1,y_1)=(0,-2)$ and $Q=(x_2,y_2)=(3,0)$

The slope of the line $PQ$ is

$m_{PQ}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(-2)}{3-0}=\frac{2}{3}$

Hence, option D is correct.