Question

Graph the proportional relationship y = — 2x by plotting points.
A. Graph points: (0, 0) (1, 5) (2, 10)
B. Graph points: (0, 0) (1, -1) (2, -2)
C. Graph points: (0, 0) (1, 2) (2, 4)
D. Graph points: (0, 0) (1, -2) (2, -4)

Answer 1

To graph the proportional relationship given by the equation \( y = -2x \), let's first understand how to find points that satisfy this equation.

1. **Calculate points**:
- When \( x = 0 \):
\( y = -2(0) = 0 \), so the point is \( (0, 0) \).
- When \( x = 1 \):
\( y = -2(1) = -2 \), so the point is \( (1, -2) \).
- When \( x = 2 \):
\( y = -2(2) = -4 \), so the point is \( (2, -4) \).

Thus, the points we have calculated are \( (0, 0) \), \( (1, -2) \), and \( (2, -4) \).

2. **Match with given options**:
- Option A: (0, 0), (1, 5), (2, 10) – **Incorrect**
- Option B: (0, 0), (1, -1), (2, -2) – **Incorrect**
- Option C: (0, 0), (1, 2), (2, 4) – **Incorrect**
- Option D: (0, 0), (1, -2), (2, -4) – **Correct**

Therefore, the correct answer is **D. Graph points: (0, 0), (1, -2), (2, -4)**.