The equation of the line is given by \( y = 3x + 7 \). This represents a linear equation where the value of \( y \) depends on the value of \( x \).
To find possible values for \( (x, y) \), you can choose any value for \( x \) and then compute the corresponding \( y \) using the equation. Here are a few examples:
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If \( x = 0 \): \[ y = 3(0) + 7 = 7 \] So, the point is \( (0, 7) \).
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If \( x = 1 \): \[ y = 3(1) + 7 = 3 + 7 = 10 \] So, the point is \( (1, 10) \).
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If \( x = -1 \): \[ y = 3(-1) + 7 = -3 + 7 = 4 \] So, the point is \( (-1, 4) \).
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If \( x = 2 \): \[ y = 3(2) + 7 = 6 + 7 = 13 \] So, the point is \( (2, 13) \).
In fact, you can choose any real number for \( x \), and you will get a corresponding value for \( y \). The general set of points \( (x, y) \) that lie on the line can be expressed as: \[ y = 3x + 7 \] for any \( x \in \mathbb{R} \).
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