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The coordinates of the foot of the perpendicular from the point $(2, 3)$ on the line $- y + 3 x + 4 = 0$ are given by

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$(- 1 / 10, 37 / 10)$

$(2 / 3, - 1 / 3)$

$(37 / 10, - 1 / 10)$

$(10, 37, - 10)$

answer is B.

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Detailed Solution

$\frac{h - x_{1}}{a} = \frac{k - y_{1}}{b} = \frac{- (a x_{1} + b y_{1} + c)}{a^{2} + b^{2}}$

$(x_{1}, y_{1})$ =(2,3);ax+by+c=3x-y+4

Therefore, the foot is $h = - 1 / 10, k = 37 / 10 .$

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