To find the missing value for the point \((5, __)\) on the equation \(y = -5x^2 + 11\), we need to substitute \(x = 5\) into the equation.
Let's do the calculation:
\[ y = -5(5)^2 + 11 \]
First, calculate \(5^2\):
\[ 5^2 = 25 \]
Now, substitute that back into the equation:
\[ y = -5(25) + 11 \]
Calculate \(-5(25)\):
\[ -5(25) = -125 \]
Now add 11:
\[ y = -125 + 11 = -114 \]
So, the missing value is:
\[ y = -114 \]
Thus, the point is \((5, -114)\).