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Which statement best describes points P and Q?

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.

1 answer

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.