To determine whether \((0, 0)\) is a solution to the equation \(y = x^2 - 7x\), we can substitute \(x = 0\) into the equation and check if \(y\) equals \(0\).
Start with the equation:
\[ y = x^2 - 7x \]
Substituting \(x = 0\):
\[ y = (0)^2 - 7(0) \] \[ y = 0 - 0 \] \[ y = 0 \]
Since we find that \(y = 0\) when \(x = 0\), this means that the point \((0, 0)\) satisfies the equation.
Therefore, \((0, 0)\) is indeed a solution to the equation \(y = x^2 - 7x\).