Question

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

$(-1,2\sqrt{3})$ and $(-2,\sqrt{3})$

• A. $\sqrt{3}$
• B. $3\sqrt{3}$
• C. $\frac{1}{\sqrt{3}}$
• D. $\frac{\sqrt{3}}{3}$

Answer 1

The correct option is A $\sqrt{3}$

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 $(-1,2\sqrt{3})$ and $(-2,\sqrt{3})=\frac{\sqrt{3}-2\sqrt{3}}{-2-(-1)}=\frac{-\sqrt{3}}{-1}=\sqrt{3}$