Is (0, –8) a solution to the equation y = x2 − 9x − –8?

To determine if (0, –8) is a solution to the equation \( y = x^2 - 9x - 8 \), we need to substitute \( x = 0 \) into the equation and then check if the resulting \( y \) value is equal to –8.

Substituting \( x = 0 \):

\[
y = (0)^2 - 9(0) - 8
\]

Calculating this:

\[
y = 0 - 0 - 8 = -8
\]

Since substituting \( x = 0 \) gives us \( y = -8 \), which matches the y-value in the point (0, –8), we conclude that (0, –8) **is** a solution to the equation.