SOLUTION: Which is an equation of the line parallel to negative 6x+2Y=-2 that passes through the point 2, -1

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Question 1176069: Which is an equation of the line parallel to negative 6x+2Y=-2 that passes through the point 2, -1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation of the line parallel to negative 6x%2B2y=-2 that passes through the point (2, -1)
y=mx%2Bb
recall that parallel lines have same slope, so find a slope of
6x%2B2y=-2 ....solve for y
2y=-6x-2
y=-6x%2F2-2%2F2
y=-3x-1 -> slope is -3
so far your line is
y=+-3x%2Bb ..........use given point (2, -1) to calculate b
-1=+-3%2A2%2Bb
-1=+-6%2Bb
-1%2B6=+b
b=5

and your line is
y=+-3x%2B5

check it on a graph: