Question

Find the slope of the line passing through the following pairs:

(0, $-\sqrt{3}$) and (3, 0)

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

Answer 1

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

Slope of the line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ $=$
$\frac{y_2-y_1}{x_2-x_1}$
Hence, slope of the line passing through $(0,-\sqrt{3})$ and $(3,0)=\frac{0-(-\sqrt{3})}{3-0}=\frac{\sqrt{3}}{3}$