Answer:
y = [tex]\frac{1}{3}[/tex] x + 2
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
3x + y = 4 ( subtract 3x from both sides )
y = - 3x + 4 ← in slope- intercept form
with slope m = - 3
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}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
Given c = 2 , then
y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of perpendicular line
