SOLUTION: What is the parallel equation passes through the origin 3x-6y=12

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Question 928633: What is the parallel equation passes through the origin 3x-6y=12
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

passes through the origin:(0,0
+3x-6y=12 ...find a slope first
+3x-12=6y
+3x%2F6-12%2F6=y
+y=highlight%28%281%2F2%29%29x-2 => slope is 1%2F2
parallel lines have same slope, so the equation of the line parallel to given line will be:
y=mx%2Bb....from given point we know that b=0 (the line passes through the origin)
y=mx%2Bb => slope is 1%2F2
y=%281%2F2%29x ....the equation of the line parallel to given line

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F2%29x%2C+%281%2F2%29x-2%29+