SOLUTION: Write an equation of the line that passes through(4,-1) and is parallel to the line y=3x+7 .

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Question 1187170: Write an equation of the line that passes through(4,-1) and is parallel to the line y=3x+7 .

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
the line that passes through (4,-1)
and is parallel to the line y=3x%2B7+
use s slope point equation of the line:
y-y%5B1%5D=m%28x-x%5B1%5D%29
if the line is parallel to the line y=3x%2B7, they will have same slope
so, find a slope of the given line is m=3
y-y%5B1%5D=m%28x-x%5B1%5D%29..........substitute slope and coordinates of the given point
y-%28-1%29=3%28x-4%29
y%2B1=3x-12
y=3x-12-1
y=3x-13