Question

Select the pair of slopes that are the slopes of perpendicular lines.

Answer 1

$\frac{3}{4}\ and\ \frac{-4}{3}$ are the slopes of perpendicular lines

Solution:

We know that,

Product of slope of a line and slope of line perpendicular to it is always equal to -1

Option 1

$\frac{1}{2}\ and\ 2$

$Product = \frac{1}{2} \times 2 = 1$

Thus, these are not the slopes of perpendicular lines

Option 2

$\frac{3}{4}\ and\ \frac{-4}{3}\\\\Product = \frac{3}{4} \times \frac{-4}{3}\\\\Product = -1$

This option satisfies the slopes of perpendicular lines

Option 3

$\frac{-2}{5}\ and\ \frac{-5}{2}\\\\Product = \frac{-2}{5} \times \frac{-5}{2} = 1$

Thus, these are not the slopes of perpendicular lines

Option 4

2 and 2

Product = 2 x 2 = 4

Thus, these are not the slopes of perpendicular lines