To determine which of the points is a solution to the inequality \( y > \frac{1}{9}x - \frac{2}{9} \), you need to test each point against the inequality.
The inequality \( y > \frac{1}{9}x - \frac{2}{9} \) can also be rewritten in slope-intercept form. The line represented by \( y = \frac{1}{9}x - \frac{2}{9} \) is the boundary, and we are looking for points that lie above this line (since we're interested in \( y > \ldots \)).
Follow these steps:
- Choose a point (x, y) that you suspect is a solution.
- Plug the x-coordinate into the equation for the line: Calculate \( y_{line} = \frac{1}{9}x - \frac{2}{9} \).
- Check the y-coordinate of the chosen point: If \( y > y_{line} \), then the point is a solution; if not, it is not a solution.
If you provide specific points, I can help you determine which of those points, if any, satisfies the inequality.