Question

Show sequence of transformation to be made to mirror any entity about the line with the equation y = mx + b.​

Answer 1

Answer:

How can I find the reflection that reflects in an arbitrary line, y=mx+b

I've examples where it's y=mx without taking in the factor of b

But I want to know how you can take in the factor of b

And after searching through for some results, I came to this matrix which i think can solve my problems. But it doesn't seem to work.

⎡⎣⎢x′y′1⎤⎦⎥=⎡⎣⎢⎢⎢1−m21+m2−2m1+m20−2m1+m2m2−11+m20−2mb1+m22b1+m21⎤⎦⎥⎥⎥⎡⎣⎢xy1⎤⎦⎥.

The example I tried to use using this matrix is the point (0,8) reflected on y=−12x+2. The result I get from that matrix is [6.4,−0.6,0]. The actual answer should be [−4.8,−1.6] , according to Geogebra