Question

Is Y=4/5x-8 and y=-5/4+3 perpendicular?

Answer 1

yes

Explanation:

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

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

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

with slope =
`(4)/(5)`

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

with slope = -
`(5)/(4)`

Now

`(4)/(5)` × -
`(5)/(4)` = - 1

Hence the 2 lines are perpendicular