Question

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?

Answer 1

`(10, 2)`

Explanation:

Reflecting a point
`(x, y)` over the line
`x=3` gives the point
`(x-2(x-3), y)`, which simplifies to
`(-x+6, y)`.

Plugging in the point
`(-4, 2)` to the equation gives the reflected point
`A'`, which is at
`(-(-4)+6, 2)=(10, 2)`