Which statement best describes points P and Q?

Question

On a coordinate plane, point P is at (negative 6, 4) and point Q is at (1, 4).
Their x-coordinates are the same.
Their y-coordinates are the same.
Their x-coordinates are opposites.
Their y-coordinates are opposites.

Answer 1

To analyze the points P and Q:

• Point P is at (-6, 4).
• Point Q is at (1, 4).

1. Their x-coordinates are the same.

   • False. P has an x-coordinate of -6, and Q has an x-coordinate of 1.

2. Their y-coordinates are the same.

   • True. Both points have a y-coordinate of 4.

3. Their x-coordinates are opposites.

   • True. The x-coordinate of P is -6 and the x-coordinate of Q is 1, and if we consider the algebraic expression where -(-6) = 6, and 6 is the opposite of -6. However, since 1 is not the direct opposite of -6, this can cause confusion.

4. Their y-coordinates are opposites.

   • False. Both y-coordinates are the same (4).

The correct statement that best describes points P and Q is: Their y-coordinates are the same.