Question

What is the slope of a line perpendicular to the line whose equation is x +y = 3.

Fully reduce your answer.

Answer 1

slope = 1

Explanation:

The equation of a line in slope- intercept form is

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

Given

x + y = 3 ( subtract x from both sides )

y = - x + 3 ← in slope- intercept form

with slope m = - 1

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

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