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Let A=(6,2), and let B be the reflection of A over the line $y=\frac{1}{2}x+5$ . Find the coordinates of B.

Please explane

Thxs in advance

Guest Jul 26, 2020

Guest · Answer 1 · 2020-07-26T05:19:24

Reflection matrix for y = 1/2*x + 5 applied to (6,2):

$\begin{pmatrix} 3/5 & 4/5 \\ 4/5 & -3/5 \end{pmatrix} \begin{pmatrix} 6 \\ 2 \end{pmatrix} = \begin{pmatrix} 26/5 \\ 18/5 \end{pmatrix}$

So the relfection is B = (26/5,18/5).