Question

Write the slope intercept form of the EOL that passes through (-3,-2) and is perpendicular To y=-1/4x+3

Answer 1

y = 4x + 10

Explanation:

The equation of a line in slope- intercept form is

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

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

with slope m = -
`(1)/(4)`

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

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

y = 4x + c ← is the partial equation of the line

To find c substitute (- 3, - 2) into the partial equation

- 2 = - 12 + c ⇒ c = - 2 + 12 = 10

y = 4x + 10 ← equation of perpendicular line