Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.

Write your answer as an ordered pair $(x,y)$.

Point A is (5,7), and the line is y = x.

bader Mar 5, 2024

#1**+2 **

__The general formula across line y = x, is \((a, b)\rightarrow (b, a)\), so the result is \((7, 5)\).__

But if you want a more general solution that can work for any line, then it is much more difficult, but turning to imaginary numbers + roots of unity is one way to do it.

hairyberry Mar 6, 2024

#1**+2 **

Best Answer

__The general formula across line y = x, is \((a, b)\rightarrow (b, a)\), so the result is \((7, 5)\).__

But if you want a more general solution that can work for any line, then it is much more difficult, but turning to imaginary numbers + roots of unity is one way to do it.

hairyberry Mar 6, 2024