To graph the proportional relationship \( y = 2x \), we can calculate several points by substituting different values for \( x \) into the equation.
Here are some key points:
- When \( x = 0 \), then \( y = 2(0) = 0 \) → point: \( (0, 0) \)
- When \( x = 1 \), then \( y = 2(1) = 2 \) → point: \( (1, 2) \)
- When \( x = 2 \), then \( y = 2(2) = 4 \) → point: \( (2, 4) \)
- When \( x = 3 \), then \( y = 2(3) = 6 \) → point: \( (3, 6) \)
The correct set of plotted points from the given options corresponds to the coordinates \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).
Therefore, the correct response 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: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, and left parenthesis 2 comma 4 right parenthesis.