[tex]\frac{3}{4}\ and\ \frac{-4}{3}[/tex] 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
[tex]\frac{1}{2}\ and\ 2[/tex]
[tex]Product = \frac{1}{2} \times 2 = 1[/tex]
Thus, these are not the slopes of perpendicular lines
Option 2
[tex]\frac{3}{4}\ and\ \frac{-4}{3}\\\\Product = \frac{3}{4} \times \frac{-4}{3}\\\\Product = -1[/tex]
This option satisfies the slopes of perpendicular lines
Option 3
[tex]\frac{-2}{5}\ and\ \frac{-5}{2}\\\\Product = \frac{-2}{5} \times \frac{-5}{2} = 1[/tex]
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
