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A person standing at the junction (crossing) of the two straight paths represented by the equations 2x – 3y + 4 = 0

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A person standing at the junction (crossing) of the two straight paths represented by the equations 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0 wants to reach the paths whose equation is 6x - 7y + 8 = 0 in the least time. Find the equation of the path that he should follow. Answer:

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Given lines are

the reach the line (3) in the least time, the person must move along the perpendicular from A.

now, slope of (3) = - 6/-7 = 6/7

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