Question

Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y = 2 x - 3?

Answer 1

y = -
`(1)/(2)` x - 3

Explanation:

The equation of a line in slope- intercept form is

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

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

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

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

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = -
`(1)/(2)` x - 3 ← equation of perpendicular line