contestada

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

Respuesta :

Answer:

slope = 1

Step-by-step 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

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1