To graph the proportional relationship described by the equation \( y = 2x \), we need to identify points on the graph based on the equation. The equation tells us that for every unit increase in \( x \), \( y \) increases by 2 units.
Here are some values for \( x \) and their corresponding \( y \):
- When \( x = 0 \), \( y = 2(0) = 0 \). This gives us the point \( (0, 0) \).
- When \( x = 1 \), \( y = 2(1) = 2 \). This gives us \( (1, 2) \).
- When \( x = 2 \), \( y = 2(2) = 4 \). This gives us \( (2, 4) \).
From these points, we can see that we should have:
- \( (0, 0) \)
- \( (1, 2) \)
- \( (2, 4) \)
The correct choice from your provided responses is the one that includes these three points. Thus, the answer is:
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 the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).