Question

Find the slope of the line passing through the points ($-$1, $2\sqrt{3}$) and ($-$2, $\sqrt{3}$).

Answer 1

The given points are ($-$1, $2\sqrt{3}$) and ($-$2, $\sqrt{3}$).

Here, x₁ = $-$1, y₁ = $2\sqrt{3}$, x₂ = $-$2 and y₂ = $\sqrt{3}$
$$\begin{gathered} \therefore \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{\sqrt{3}-2\sqrt{3}}{-2-(-1)} \\ =\frac{-\sqrt{3}}{-1} \\ =\sqrt{3} \end{gathered}$$