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Find the equation of a straight line through the intersection of lines 5x – 6y = 2, 3x + 2y = 10 and perpendicular to the line 4x – 7y + 13 = 0

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Find the equation of a straight line through the intersection of lines 5x – 6y = 2, 3x + 2y = 10 and perpendicular to the line 4x – 7y + 13 = 0

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The intersecting point of m and n is got by solving the equations of m and n.

5x = (14 + 66)/7

49x + 28y - 156 = 0 is the required equation of the line.

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