Question

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Choose the slope-intercept equation of the line that passes through the point (-2, 4) and is parallel to y = -3x + 6.

y = one thirdx + 14 thirds

y = 3x + 10

y = -3x - 2

y = -one thirdx + 10 thirds

Answer 1

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Answer 2

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Answer 3

slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Since you are looking for a parallel line you need an equation with the same slope as the first equation but a different y intercept

So you plug your point into the given equation and change the y intercept from 6 to b
y=-3x+6
4=-3(-2)+b
4=6+b
4-6=b
-2=b

So your new parallel equation is y=-3x-2

Answer 4

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