To graph the proportional relationship \( y = 2x \), you should plot points that satisfy the equation.
The equation \( y = 2x \) means that for every unit increase in \( x \), \( y \) increases by 2. The key points to plot are:
- 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: \( (2, 4) \)
Among the options you’ve presented, the correct option includes the plotted points \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).
Thus, 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: \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).