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Question 480685: write the equation of the line that is parallel to the line 4x+5y=7 and passes through the point (-1,8). thank you
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the equation of the line that is parallel to the line 4x+5y=7 and passes through the point (-1,8). thank you
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Standard form of equation for a straight line: y=mx+b, m= slope, b=y-intercept.
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given equation: 4x+5y=7
rewrite in standard form
5y=-4x+7
y=-4x/5+7/5
m=-4/5
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Parallel equation has same slope=-4/5
y=-4x/5+b
solving for b using coordinates of given point thru which the line passes.
8=-4(-1)/5+b
8=4/5+b
b=8-4/5=40/5-4/5=36/5
Equation: y=-4x/5+36/5
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