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Derive the matrix in 2D for Reflection of an object about a line y=mx+c.
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Equation of Line : $ y = mx + c $

slope = m $\quad$ y intercept = c

we can relate slope m to angle $ \theta $ by equation

m = tan$\theta$

$\therefore$ $\theta$ = $tan^{-^1}$m

where $\theta$ is in inclination of line with respect to x-axis.

Translation …

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