To graph the proportional relationship \( y = 2x \), we need to identify some points by substituting different values of \( x \) into the equation:
-
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: \( (2, 4) \)
Then, we can plot these points: \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).
Based on the given response options, the correct one would be:
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).
This option accurately represents the equation \( y = 2x \).