Question

Line f has a slope of -9/2. line g is perpendicular to f what is the slope of line g​

Answer 1

The slope of line g is
`(2)/(9)`.

Explanation:

We know that line f has a slope of
`-(9)/(2)` and that line g and line f are perpendicular to each other. Perpendicular lines have slopes that are opposite reciprocals of each other. Thus, the opposite reciprocal of
`-(9)/(2)` must be the slope of line g.

To find the opposite reciprocal of a number, change its sign and swap the numbers of the numerator and the denominator. So, the opposite reciprocal of
`-(9)/(2)` must be
`(2)/(9)`.
`(2)/(9)` has to be the slope of line g as well.