SOLUTION: Write the equation of a line in standard form passing through the point (2,9) and parallel to the line 5y=2x+15

Question 933837: Write the equation of a line in standard form passing through the point (2,9) and parallel to the line
5y=2x+15
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the equation of a line in standard form passing through the point (2,9) and parallel to the line
5y=2x+15
***
standard form of equation for a line: y=mx+b, m=slope, b=y-intercept
parallel lines have the same slope
5y=2x+15
y=2x/5+3
slope of this parallel line=2/5
equation of given line:
y=2x/5+b
solve for b using coordinates(2,9) of given point on the line
9=2*2/5+b
b=9-4/5=45/5-4/5=41/5
equation:y=2x/5+41/5
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