What are the coordinates of the reflection of (a, b) over the y-axis?

(-a,b)

To find the coordinates of the reflection of a point (a, b) over the y-axis, you need to keep the x-coordinate the same and change the sign of the y-coordinate.

So, the reflection of the point (a, b) over the y-axis is (-a, b).

To better understand this, imagine a mirror placed along the y-axis. When you reflect a point over the y-axis, it means that the point "mirrors" across the y-axis, and its x-coordinate remains the same while the y-coordinate changes sign.