Question

Find the equation of the line that passes through (-1,2)and is perpendicular to 2y=x-3

Answer 1

y = - 2x

Explanation:

The equation of a line in slope- intercept form is

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

Given

2y = x - 3 ( divide the terms by 2 )

y =
`(1)/(2)` x -
`(3)/(2)` ← in slope- intercept form

with slope m =
`(1)/(2)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((1)/(2) )` = - 2 , then

y = - 2x + c ← is the partial equation

To find c, substitute (- 1, 2) into the partial equation

2 = 2 + c ⇒ c = 2 - 2 = 0

y = - 2x ← equation of the perpendicular line

Answer 2

Sorry I don’t have roller
Hope it’s right
Best luck with your studying