Question

What is the image of (-9,0) after a reflection over the line y=x

Answer 1

(0,-9)

Explanation:

The image of a point
`(x,y)` over a line
`y=x` is given by the co-ordinate rule:

`(x,y)` →
`(y,x)`

So, when we reflect a point over the line
`y=x`, the x co-ordinate and y co-ordinate change their places.

Here,
`(x,y)` is
`(-9,0)`. So, from the above rule, after reflection over the line
`y=x`, the image has the following co-ordinates:

`(0,-9)`