Question

write the slope-intercept form of the line y-intercept of 9 and perpendicular to the line with m = -4

Answer 1

y =
`(1)/(4)` x + 9

Explanation:

the equation of a line in slope- intercept form is

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

given a line with slope m = - 4

the slope of a line perpendicular to it is

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

given the y- intercept c = 9

y =
`(1)/(4)` x + 9 ← equation of perpendicular line