Question

Reflect (7, 3) in (a) the x-axis and (b) the y-axis

Answer 1

In x-axis:
`(7,-3)`, In y-axis:
`(-7,3)`

Explanation:

The rule of the reflection of a point across the x-axis is as shown:

The reflection of the point
`(x,y)` across the x-axis is given by
`(x,-y)`.

The point given to us is
`(7,3)`, when reflected across the x-axis we get:

`(x,-y)=(7,-3)`

Now, when a point
`(x,y)` is reflected across the y-axis we get the point
`(-x,y)`.

So when the point
`(7,3)` is reflected across the y-axis we get:
`(-x,y)=(-7,3)`.