To find if (-2,9) is a solution of the equation y = x - 7, just plug the values back into the original equation. You can get these values by using the coordinate point.
[tex]9 = -2 - 7
[/tex]
[tex]9 ≠ -9 [/tex]
Since the values are not equal, the coordinate point (-2,9) is not a solution of the equation y = x - 7. Hope this helps and have a fabulous day!