SOLUTION: find the equation of the line parallel to the line 5x -7y=3 and passing through the point (2,5)

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Question 693844: find the equation of the line parallel to the line 5x -7y=3 and passing through the point (2,5)
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Putting +5x+-7y=3+ into standards form gives
+7y=5x-3+
+y=%285%2F7%29x-3%2F7+
so the line has gradient +5%2F7+
The equation of a line with gradient +m+ passing through +x%5B1%5D%2Cy%5B1%5D+ satisfies the equation
+y-y%5B1%5D=m%28x-x%5B1%5D%29+
So a line passing through the point (2,5) with gradient +5%2F7+ satisfies the equation:
+y-5=%285%2F7%29%28x-2%29+
+7y-35=%285%29%28x-2%29+
+7y-35=5x-10+
+7y-35=5x-10+
+7y-5x-25=0+