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Answer:
y = 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
= -
= -
=
Given c = 2 , then
y = x + 2 ← equation of perpendicular line