To determine which table represents the equation \( y = -2x + 17 \), you will need to compute the values of \( y \) for various values of \( x \).
Let's compute a few points:
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If \( x = 0 \): \[ y = -2(0) + 17 = 17 \] So the point is \( (0, 17) \).
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If \( x = 1 \): \[ y = -2(1) + 17 = -2 + 17 = 15 \] So the point is \( (1, 15) \).
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If \( x = 2 \): \[ y = -2(2) + 17 = -4 + 17 = 13 \] So the point is \( (2, 13) \).
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If \( x = 3 \): \[ y = -2(3) + 17 = -6 + 17 = 11 \] So the point is \( (3, 11) \).
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If \( x = 4 \): \[ y = -2(4) + 17 = -8 + 17 = 9 \] So the point is \( (4, 9) \).
Now that we have these points:
- \( (0, 17) \)
- \( (1, 15) \)
- \( (2, 13) \)
- \( (3, 11) \)
- \( (4, 9) \)
To find the correct table, look for a table that has these corresponding values for \( y \) given the values for \( x \).