Question

if you change the sign of a points x - coordinate, how will the location of the point change? the point will move down and to the left. the point will cross over the x - axis. the point will cross over the y - axis. not enough information is provided.

Explanation:

Changing the sign of the \(x\) - coordinate of a point \((x,y)\) gives the point \((-x,y)\).
In a coordinate plane, the \(y\) - axis is the vertical line \(x = 0\).
The transformation from \((x,y)\) to \((-x,y)\) is a reflection across the \(y\) - axis.
This means the point will cross over the \(y\) - axis.

Answer:

The point will cross over the \(y\) - axis.