Which point is located on the x-axis?

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Understand the Problem

The question is asking which of the given points is located on the x-axis. A point is on the x-axis if its y-coordinate is zero.

Answer

The point located on the x-axis is $(1, 0)$.
Answer for screen readers

The point located on the x-axis is $(1, 0)$.

Steps to Solve

  1. Identify the y-coordinates of the points

To determine which point is on the x-axis, we need to examine the y-coordinates of each given point. A point is on the x-axis if its y-coordinate is equal to zero.

  1. Evaluate each point
  • For the point $(-5, 1)$, the y-coordinate is $1$, so it is not on the x-axis.
  • For the point $(0, -5)$, the y-coordinate is $-5$, so it is not on the x-axis.
  • For the point $(1, 0)$, the y-coordinate is $0$, thus this point is on the x-axis.
  • For the point $(2, 2)$, the y-coordinate is $2$, so it is not on the x-axis.
  1. Conclusion on the point's location

Based on the evaluation, the point that lies on the x-axis is $(1, 0)$.

The point located on the x-axis is $(1, 0)$.

More Information

The x-axis is the horizontal line in a Cartesian plane where all points have a y-coordinate of zero. This plays a crucial role in graphing and understanding coordinates in geometry.

Tips

  • Confusing points on the x-axis with those on the y-axis. Remember that only points with a y-coordinate of zero are on the x-axis.
  • Overlooking the importance of checking each point thoroughly; ensure to evaluate all options before making a conclusion.
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