To determine the correct graph for the proportional relationship given by the equation \( y = 2x \), we can calculate several points based on this equation.
Here are some points we can find:
- When \( x = 0 \), \( y = 2(0) = 0 \) → Point: (0, 0)
- When \( x = 1 \), \( y = 2(1) = 2 \) → Point: (1, 2)
- When \( x = 2 \), \( y = 2(2) = 4 \) → Point: (2, 4)
- When \( x = 3 \), \( y = 2(3) = 6 \) → Point: (3, 6)
Now let's look at the responses:
- A: Points (0, 0) and (2, 1) — Incorrect.
- B: Points (0, 0), (1, 2), and (2, 4) — Correct.
- C: Points (0, 0), (1, 3), and (2, 6) — Incorrect.
- D: Points (0, 0) and (1, 4) — Incorrect.
Based on the calculated points, the correct response is B: A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both ends joins three plotted points and extends beyond. The coordinates of the plotted points are: (0, 0), (1, 2), and (2, 4).
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