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Math Help - line in graph

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    line in graph

    Find the coordinates of all points P on the x-axis so that the line through A (1, 2) and P is perpendicular to the line through B (8, 3) and P
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  2. #2
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    Quote Originally Posted by ea12345 View Post
    Find the coordinates of all points P on the x-axis so that the line through A (1, 2) and P is perpendicular to the line through B (8, 3) and P
    Let P have coordinates (a, 0).

    Get the gradient m_{AP} of the line passing through A and P in terms of a.

    Get the gradient m_{BP} of the line passing through B and P in terms of a.

    Solve the equation m_{AP} \cdot m_{BP} = -1 for a.
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