SOLUTION: find the equation of the line that is parallel to the graph of 3x-5y=1 and passes through (-1,-6) . Write the equaziton in standard form

Question 790394: find the equation of the line that is parallel to the graph of 3x-5y=1 and passes through (-1,-6) . Write the equaziton in standard form
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the equation of the line that is parallel to the graph of 3x-5y=1 and passes through (-1,-6) . Write the equation in standard form.
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Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept
3x-5y=1
5y=3x-1
y=3x/5-1/5
m=3/5
..
slope of line parallel to given equation=3/5
Equation of parallel line:
y=3x/5+b
solve for b using coordinates of given point (-1,-6)
-6=3*(-1)/5+b
-6=-3/5+b
b=-30/5+3/5=-27/5
Equation of parallel line: y=3x/5-27/5

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