The equation of the straight line passing through the foot of the perpendicular of (4, 5) on to the X-axis and the image of the same point with respect to Y-axis is

The equation of the straight line passing through the foot of the perpendicular of (4, 5) on to the X-axis and the image of the same point with respect to Y-axis is

A
$5 x - 8 y - 20 = 0$
B
$5 x + 8 y - 20 = 0$
C
$8 x + 5 y + 7 = 0$
D
$8 x - 5 y + 57 = 0$

Solution:

The foot of the perpendicular of (4, 5) on to the X-axis is (4, 0). The image of the same point (4, 5) with respect to Y-axis is (- 4, 5)

$∴$ The required equation is $y - 5 = (\frac{- 5}{8}) (x + 4)$

$\Rightarrow 5 x + 8 y - 20 = 0$

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