Question

Rectangle RSTU has vertices on the coordinate plane. If the slope of TU = 3/4 , then the slope of SR =

Answer 1

The sides of a rectangle are perpendicular to each other.

The slopes of two perpendicular lines, $m_1$ and $m_2$, satisfy the following equation:

$m_1 = - \frac{1}{m_2}$

So, the slope of $SR$ is

$- \frac{1}{\frac{3}{4}} = -\frac{4}{3}$