- AThe x-axis, at (3, 0)
- BThe x-axis, at (0, 3)
- CThe y-axis, at (0, 3)
- DThe y-axis, at (3, 0)
Step-by-Step Solution
Both endpoints have ordinate 3, so the segment is horizontal and stays 3 units above the x-axis, which it never meets. It runs from x=−2 to x=2, so it crosses the y-axis where the abscissa is 0, at the point (0, 3).
Answer: C) The y-axis, at (0, 3)
Key idea: Special points
- **Origin**: (0, 0).
- **On x-axis**: y=0, so the form is (a, 0). Examples: (3, 0), (−5, 0).
- **On y-axis**: x=0, so the form is (0, b). Examples: (0, 7), (0, −2).
- **First-quadrant point**: both positive.
- **Third-quadrant point**: both negative.
Knowing which axis or quadrant a point belongs to is a quick check that you've plotted it correctly.