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