To graph the proportional relationship given by the equation \( y = -2x \), let's plot some points based on the equation:
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When \( x = 0 \): \[ y = -2(0) = 0 \quad \Rightarrow (0, 0) \]
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When \( x = 1 \): \[ y = -2(1) = -2 \quad \Rightarrow (1, -2) \]
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When \( x = 2 \): \[ y = -2(2) = -4 \quad \Rightarrow (2, -4) \]
Now, let's look at the plotted points:
- \( (0, 0) \)
- \( (1, -2) \)
- \( (2, -4) \)
Based on the options provided, the correct set of plotted points matching the equation \( y = -2x \) 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 ends joins three plotted points and extends beyond. The coordinates of the plotted points are:
\((0, 0)\), \((1, -2)\), and \((2, -4)\).
This corresponds to the second response option in your list.