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Chapter 1: Problem 73

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If a point is on the \(y\) -axis, its \(x\) -coordinate must be 0

Short Answer

Expert verified
The statement 'If a point is on the \(y\) -axis, its \(x\) -coordinate must be 0' is true and needs no alteration.

Step by step solution

01

Understanding the statement

The statement implies that any point which lies on the \(y\) -axis should have its \(x\) -coordinate as 0. In the Cartesian plane, the \(x\)-axis is horizontal and the \(y\)-axis is vertical. A point that lies on the \(y\)-axis can have any value for its \(y\)-coordinate, but its \(x\)-coordinate is always 0.
02

Evaluate the statement

Consider the claim in the statement. If any point is on the \(y\) -axis, then its x-coordinate is indeed 0. This is a fundamental fact about the Cartesian coordinate system.
03

Conclusion

Based on the observation in Step 2, the statement in the exercise is correct. Hence, there is no need to make any changes to it.

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Most popular questions from this chapter

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