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Question 564898: Determine the equation of a line parallel to 5x-3y+9=0 and passes through(3,-2)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Determine the equation of a line parallel to 5x-3y+9=0 and passes through(3,-2)
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Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
5x-3y+9=0
rewrite given equation in standard form:
3y=5x+9
y=5x/3+3
slope=5/3
..
Lines parallel to each other have the same slope
Equation for line parallel to given equation:
y=5x/3+b
solving for b using coordinates of given point (3,-2)
-2=5*3/3+b
-2=5+b
b=-7
Equation: y=5x/3-7
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