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A point has an x-coordinate equal to 0. Where does it lie?
AOn the y-axis, at (0, b)
BOn the x-axis, at (a, 0)
CAt the origin point (0, 0)
DNowhere on the coordinate plane
Answer & Solution
Correct answer: A. On the y-axis, at (0, b)
1. The rule for points on the axes states that an x-coordinate of 0 places the point on the y-axis, with coordinates in the form (0, b).
2. A y-coordinate of 0, not an x-coordinate of 0, is what places a point on the x-axis instead.
3. Only the single point (0, 0) is the origin, and every point with x equal to 0 still lies somewhere on the coordinate plane, on the y-axis.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.1 Use the Rectangular Coordinate System_
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