The coordinate P(−2,7) is reflected over the y-axis. State the coordinate of P′.
When a point is reflected over the y-axis, the x-coordinate remains the same, while the y-coordinate changes its sign.
Given the point P(-2,7), when it is reflected over the y-axis, the x-coordinate remains the same (-2), and the y-coordinate changes its sign to become -7.
Therefore, the coordinate of P' is (-2,-7).
To find the reflection of a point over the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.
Given the point P at (-2,7), to find the reflection P' over the y-axis, we change the sign of the x-coordinate: (-2,7) becomes (2,7).
Therefore, the coordinate of the point P' is (2,7).