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 $\frac{2}{3}$

We know that slope of the line passing through
points $(x_1,y_1)$ and $(x_2,y_2)$
$m=\frac{y_2-y_1}{x_2-x_1}$
Let $(x_1,y_1)=(0,-2)$ and $(x_2,y_2)=(3,0)$
Hence slope of the line that passes through points
$(0,-2)$ and $(3,0)$
$m=\frac{\left(0\right)-(-2)}{\left(3\right)-\left(0\right)}=\frac{0+2}{\left(3\right)}=\frac{2}{3}$