I Fınding the position of a point on the line

Arman777
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Let us suppose we have a line ##l_1 = ax + by + c = 0## and we have a point P, ##P(x_p, y_p)## that is outside of this line. If we draw a perpendicular line from point ##P## to a point on the ##l_1##. What would be the coordinates of this point ? I know there are many ways to do it. But I am looking for a single equation that can describe this point (##Q##) ?

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Have you considered using one of those methods to solve the problem, which should give you an expression for Q in terms of P and l_1?
 
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