Question

The slope of the side BC of a rectangle ABCD is $\frac{2}{3}$. Find:
(i) The slope of the side AB.

Answer 1

Given,
The slope of the side BC of a rectangle ABCD is $\frac{2}{3}$
Since, BC is perpendicular to AB

$\therefore$ Slope of AB $=\frac{-1}{\text{slope of BC}}$

$\Rightarrow \text{Slope of AB}=\frac{-1}{\frac{2}{3}}$

$\therefore \text{Slope of AB}=\frac{-3}{2}$

Hence, the slope of the side AB is $\frac{-3}{2}$