To graph the proportional relationship represented by the equation \( y = 2x \), we can find several key points by substituting values for \( x \).
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When \( x = 0 \): \[ y = 2(0) = 0 \quad \Rightarrow \quad (0, 0) \]
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When \( x = 1 \): \[ y = 2(1) = 2 \quad \Rightarrow \quad (1, 2) \]
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When \( x = 2 \): \[ y = 2(2) = 4 \quad \Rightarrow \quad (2, 4) \]
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When \( x = 3 \): \[ y = 2(3) = 6 \quad \Rightarrow \quad (3, 6) \]
So the points we have plotted are:
- \( (0, 0) \)
- \( (1, 2) \)
- \( (2, 4) \)
- \( (3, 6) \)
From the options provided, the correct graphical representation shows a line that includes the points \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \). Thus, the option that represents the correct graph of 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 the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: \( (0, 0) \), \( (1, 2) \), and \( (2, 4) \).
3 answers