What would be the formula (in terms of (a,b)) if you were to reflect (a,b) across y=3x+5. Please explain too! Thank you!

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- May 6th 2013, 07:25 PMJammixReflections!
What would be the formula (in terms of (a,b)) if you were to reflect (a,b) across y=3x+5. Please explain too! Thank you!

- May 6th 2013, 07:43 PMchiroRe: Reflections!
Hey Jammix,

Hint: Try calculating the angle that is made with your point (a,b) and the line y=3x+5 and create a rotation matrix that rotates the (a,b) point -2*theta where theta refers to a signed angle where positive values means (a,b) is above the line and negative means (a,b) is below the line. - May 7th 2013, 07:41 AMjohngRe: Reflections!
Hi,

Here's a general formula for the reflection problem. I guess you have to know a little "vector" geometry to follow the proof.

Attachment 28279