Is (0, 0) a solution to the equation y = x2 − –7x?

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 \(y = x^2 - 7x\).