Question

What is the image of (6, -3) reflected over the line y=4?

Answer 1

Coordinates of image are `(6,11)`

Explanation:

As `y=4` is parallel to `x`-axis,

abscissa of image would not change and will be `6`.

Further distance of `(6,-3)` from `y=4` is `|-3-4|=7` and point is below line `y=4`

hence image will be further `7` from it and hence

its ordinate would be `4+7=11` and

Coordinates of image are `(6,11)`
graph{((x-6)^2+(y-11)^2-0.1)((x-6)^2+(y+3)^2-0.1)(y-4)=0 [-16.58, 23.42, -4.96, 15.04]}