To graph the proportional relationship given by the equation \(y = -2x\), we need to calculate the corresponding \(y\) values for selected \(x\) values:
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For \(x = 0\): \[ y = -2(0) = 0 \quad \Rightarrow \quad (0, 0) \]
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For \(x = 1\): \[ y = -2(1) = -2 \quad \Rightarrow \quad (1, -2) \]
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For \(x = 2\): \[ y = -2(2) = -4 \quad \Rightarrow \quad (2, -4) \]
Now we can see the points we plotted:
- \((0, 0)\)
- \((1, -2)\)
- \((2, -4)\)
Among the options given, the correct one matches the points we calculated:
Correct response: A coordinate plane ranging 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 \((2, -4)\).