To determine if the point \((-4, 0)\) is a solution to the equation \(y = x^2 - 7x\), we can substitute \(x = -4\) into the equation and see if \(y\) equals 0.
Starting with the equation:
\[ y = x^2 - 7x \]
Substituting \(x = -4\):
\[ y = (-4)^2 - 7(-4) \]
Calculating the terms:
\[ y = 16 + 28 \]
\[ y = 44 \]
Since when \(x = -4\), we find that \(y = 44\) and not \(y = 0\), the point \((-4, 0)\) is not a solution to the equation \(y = x^2 - 7x\).