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Points A and B have the same x-coordinates but opposite y-coordinates. How many units away are each of the points from the y-axis?

A) 3
B) 4
C) 6
D) 7

User Talijanac
by
8.0k points

1 Answer

2 votes

Final answer:

The distance of a point from the y-axis is the absolute value of its x-coordinate. Since the question does not provide the specific x-coordinate, we cannot determine the distance of points A and B from the y-axis from the given multiple-choice options.

Step-by-step explanation:

To determine how many units away points A and B are from the y-axis, we need to understand that the x-coordinate of a point tells us how far to move left or right from the origin (0,0), which lies directly on the y-axis. The question states that points A and B have the same x-coordinates but opposite y-coordinates. The distance of a point from the y-axis is simply the absolute value of its x-coordinate, as the y-coordinate has no effect on this distance.

Since the y-coordinates are opposite in sign and do not affect the distance from the y-axis, we are concerned only with the x-coordinate. Without loss of generality, let's take a point A with an x-coordinate of 'x'. The distance of point A from the y-axis would be |x|, where '|' denotes the absolute value.

Given the choices, A) 3, B) 4, C) 6, and D) 7, each represents the absolute x-coordinate value and hence the distance from the y-axis for points A and B. Without further information about the specific x-coordinate value for points A and B, it is not possible to select the correct answer from the options provided.

User Melissa Jenner
by
7.5k points

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