Graph the proportional relationship y = — 2x by plotting points.

Question

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).