To determine which one is NOT a linear function, we need to identify which of the responses does not represent a linear equation.
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3X = 9: This can be rewritten to find \( X \), and it represents a vertical line (a constant output for all inputs, which is a linear function).
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2x² - 6 = 11: This can be rearranged to \( 2x² = 17 \) or \( x² = 8.5 \). This represents a quadratic function (since it contains \( x² \)), not a linear function.
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10 - 4X = 7: This can also be rearranged to find \( X \) and represents a linear function.
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Y = 9X: This is a linear function in slope-intercept form.
Thus, the answer is: 2x² − 6 = 11 is NOT a linear function.