SOLUTION: Need guidance please on the below question: Given a line with equation 5x-2y=12. Write an equation in point-slope form of the line parallel to the given line through the point

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Question 1119406: Need guidance please on the below question:
Given a line with equation 5x-2y=12. Write an equation in point-slope form of the line parallel to the given line through the point (4, -3).
Thank you!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel means it has the same form as the given line but different right hand side,
5x-2y=D
Use the point to solve for D.
5%284%29-2%28-3%29=D
D=20%2B6
D=26
.
.
5x-2y=26
.
.
Converting to point slope form,
5x-2y=26
5%28x-4%29-2%28y%2B3%29=26%2B5%28-4%29-2%283%29
5%28x-4%29-2%28y%2B3%29=26-20-6
5%28x-4%29-2%28y%2B3%29=0