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Sergeu [11.5K]
3 years ago
7

Please answer it would mean so much to me :)

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

y = \frac{1}{3} 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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}

Given c = 2 , then

y = \frac{1}{3} x  + 2 ← equation of perpendicular line

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