To determine whether the point \((-2, 6)\) is on the line defined by the equation \(y = -x + 8\), we need to substitute \(x = -2\) into the equation and see if the resulting \(y\) value equals 6.
Start by substituting \(-2\) for \(x\):
\[ y = -(-2) + 8 \]
This simplifies to:
\[ y = 2 + 8 = 10 \]
Since the calculated \(y\) value (10) does not equal the \(y\) value from the point (6), the point \((-2, 6)\) is not on the line.
Thus, the correct answer is:
No, because when you substitute −2 for x and 6 for y, the equation is NOT true.