The equation \( y = 2x \) describes a linear relationship where for every unit increase in \( x \), \( y \) increases by 2. This means that the points plotted based on this equation will have the following coordinates:
- 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 \( x = -1 \), \( y = 2(-1) = -2 \) → Point (-1, -2)
- When \( x = -2 \), \( y = 2(-2) = -4 \) → Point (-2, -4)
From the options provided, the correct points to plot on the graph in relation to the equation \( y = 2x \) would be:
- (0, 0)
- (1, 2)
- (2, 4)
Thus, the option that aligns with the equation \( y = 2x \) is the one that lists the points (0, 0), (1, 2), and (2, 4), since it properly represents the equation's relationship.
Conclusion:
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.