Question

Math help, I'm stuck with my homework and I want to get it done.

if the gragh of y=-4x+7 is perpendicular to the gragh of y=mx+3 then what does m equal

Answer 1

m =
`(1)/(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 = - 4x + 7 is in this form with slope m = - 4

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-4)` =
`(1)/(4)`

Hence the value of m =
`(1)/(4)`