Question

Find the slope of a line perpendicular to each given line y=8/3x-5

Answer 1

-
`(3)/(8)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(8)/(3)` x - 5 ← is in slope- intercept form

with slope m =
`(8)/(3)`

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((8)/(3) )` = -
`(3)/(8)`