Question

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

Explanation:

In a coordinate plane, the \(x\)-axis is the horizontal axis and the \(y\)-axis is the vertical axis. Changing the sign of the \(x\)-coordinate (from positive to negative or vice - versa) reflects the point across the \(y\)-axis. For example, if we have a point \((a,b)\) and change it to \((-a,b)\), the \(y\)-coordinate remains the same and the \(x\)-coordinate changes its sign. This transformation is a reflection over the \(y\)-axis.

Answer:

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