First slide

Equation of line in Straight lines

Question

Image of the point (–1, 3) with respect to the line $y = 2 x$ is

Moderate

A

(7/5, 14/5)
B

(1, 2)
C

(3, 1)
D

(5, 1)

Solution

Equation of the line through (–1, 3) perpendicular
to $y = 2 x$ is $x + 2 y = 5$ which mets $y = 2 x$ at
(1, 2). Required point is $(α, β)$ such that $\frac{α - 1}{2} = 1,$
$\frac{β + 3}{2} = 2$ .

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