To determine whether the point \((-2, 8)\) is a solution to the equation \(y = -3x + 2\), we need to substitute \(-2\) for \(x\) and \(8\) for \(y\) in the equation.
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Start with the equation: \[ y = -3x + 2 \]
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Substitute \(-2\) for \(x\) and \(8\) for \(y\): \[ 8 = -3(-2) + 2 \]
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Calculate the right side: \[ -3(-2) = 6 \] So, \[ 6 + 2 = 8 \] Thus, the equation holds true: \[ 8 = 8 \]
Since substituting \(-2\) for \(x\) and \(8\) for \(y\) results in a true statement, we conclude:
Yes, because when you substitute −2 for x and 8 for y, the equation is true.