SOLUTION: Line l contains the point (5,-3) and has a graph parallel to the graph of 2x-5y=10. Find the equation for l.

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Question 1153649: Line l contains the point (5,-3) and has a graph parallel to the graph of 2x-5y=10. Find the equation for l.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Line l contains the point (5,-3) and has a graph parallel to the graph of 2x-5y=10.
parallel lines have same slope; so, first find a slope of the line
2x-5y=10......solve for y
2x-10=5y
y=+%282%2F5%29x-2=> slope is 2%2F5

to find the equation for l., use point-slope formula
y-y%5B1%5D=%282%2F5%29%28x-x%5B1%5D%29 ...plug in coordinates of given point
y-%28-3%29=%282%2F5%29%28x-5%29
y%2B3=%282%2F5%29x-5%282%2F5%29
y%2B3=%282%2F5%29x-2
y=%282%2F5%29x-2-3
y=%282%2F5%29x-5=>the equation for l