- A(−3, 8)
- B(−5, 2)
- C(−1, −4)
- D(−9, 6)
Step-by-Step Solution
All four have a negative abscissa, but (−3, 8), (−5, 2) and (−9, 6) have positive ordinates and so lie in quadrant II. Only (−1, −4) has a negative ordinate, which places it in quadrant III.
Answer: C) (−1, −4)
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.