The definition of opposites on a number line and the specific values provided, the matching pairs of opposites are W and Y, and T and L. The correct answer is: C) W and Y; T and L
Here's the reasoning:
Opposites on a number line are points that are the same distance away from zero but on opposite sides.
Looking at the given values:
W (-7) and Y (7) are both 7 units away from zero, but in opposite directions, making them opposites.
Similarly, T (-4) and L (4) are both 4 units away from zero in opposite directions, making them opposites.
The other options are not accurate:
X (-9) and Z (9.5) are not opposites because their distances from zero (9 and 9.5) are different.
T (-4) and R (1) are not opposites because their distances from zero (4 and 1) are different.
X (-9) and Y (7) are not opposites for the same reason as X and Z.
Therefore, based on the definition of opposites on a number line and the specific values provided, the matching pairs of opposites are W and Y, and T and L. The correct answer is: C) W and Y; T and L