SOLUTION: What is the equation of line parallel to {{{y=1/2(x)-3}}} that contains the point(4,2)?

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Question 547207: What is the equation of line parallel to y=1%2F2%28x%29-3 that contains the point(4,2)?
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that if a line is parallel, this means that the slope is the same.
The slope in the line y=1%2F2%28x%29-3 is 1%2F2
Plugging this slope and the given point into the line formula we get:
2=1%2F2%2A4%2Bb
We need to solve for b.
2=2%2Bb
b=0
So the equation of the line is
y=1%2F2%2Ax