The point (4, −7) is reflected over the x-axis. Identify the coordinates of its image after this reflection.

Answer 1

When a point \((x, y)\) is reflected over the x-axis, the y-coordinate changes its sign while the x-coordinate remains the same.

For the point \((4, -7)\):

• The x-coordinate is \(4\).
• The y-coordinate is \(-7\), which changes to \(7\) after reflection over the x-axis.

Therefore, the coordinates of the image after reflection over the x-axis are \((4, 7)\).