To determine if the point (9, -9) satisfies the inequality \( y > -2x + 9 \), we can substitute the x and y coordinates of the point into the inequality.
Given:
- \( x = 9 \)
- \( y = -9 \)
Now substitute these values into the inequality:
\[ -9 > -2(9) + 9 \]
Calculating the right side:
\[ -2(9) + 9 = -18 + 9 = -9 \]
Thus, we have:
\[ -9 > -9 \]
This statement is false because -9 is not greater than -9; they are equal.
Therefore, the inequality \( y > -2x + 9 \) is not true for the point (9, -9).