SOLUTION: If y=mx+8 is the equation of a line parallel to the line y=3/7x-12, find m. Thanks for your help.

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Question 918976: If y=mx+8 is the equation of a line parallel to the line y=3/7x-12, find m. Thanks for your help.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The coefficient of x is the slope

Parallel lines slope the same way.
That is, they have the same slope

The coefficient of x in y=expr%283%2F7%29x-12 is 3%2F7.

Therefore the slope of y=expr%283%2F7%29x-12 is 3%2F7. 

The coefficient of x in y=mx%2B8 is m. 

Therefore the slope of y=mx%2B8 is m.

y=mx%2B8 is the equation of a line parallel to the line y=expr%283%2F7%29x-12.

Therefore m must be the same as 3%2F7

Answer m=3%2F7

Result:

y=expr%283%2F7%29x%2B8 is the equation of a line parallel to the line y=expr%283%2F7%29x-12.

Edwin