Question

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

1/2 and 2

3/4 and -4/3

-2/5 and -5/2

2 and 2

Answer 1

`(3)/(4)\ and\ (-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

`(1)/(2)\ and\ 2`

`Product = (1)/(2) * 2 = 1`

Thus, these are not the slopes of perpendicular lines

Option 2

`(3)/(4)\ and\ (-4)/(3)\\\\Product = (3)/(4) * (-4)/(3)\\\\Product = -1`

This option satisfies the slopes of perpendicular lines

Option 3

`(-2)/(5)\ and\ (-5)/(2)\\\\Product = (-2)/(5) * (-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