Question

The equation of line v is y= 5/8x + 9/4. Line w is perpendicular to v. What is the slope of line w?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

slope of line w = -
`(8)/(4)`

Explanation:

the equation of a line in slope- intercept form is

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

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

with slope m =
`(5)/(8)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((5)/(8) )` = -
`(8)/(5)`