To check if the point (2, 13) is a solution to the equation \( y = -3x + 7 \), we can substitute \( x = 2 \) into the equation and see if it equals \( y = 13 \).
Substituting \( x = 2 \):
\[ y = -3(2) + 7 \] \[ y = -6 + 7 \] \[ y = 1 \]
Since the calculated value of \( y \) is 1 and not 13, Dr. Ellison is wrong. The point (2, 13) is not a solution to the equation \( y = -3x + 7 \).