Which of the following points is a solution to the linear inequality y>1/9x−2/9?

To determine which points are solutions to the inequality y > 1/9x - 2/9, we can substitute the given points into the inequality and see which ones satisfy it.

Let's start by checking the points:
1) (0,0)
2) (9,1)
3) (-9,-1)

1) Substitute (0,0) into the inequality:
0 > 1/9(0) - 2/9
0 > -2/9
Since 0 is not greater than -2/9, (0,0) is not a solution to the inequality.

2) Substitute (9,1) into the inequality:
1 > 1/9(9) - 2/9
1 > 1 - 2/9
1 > 7/9
Since 1 is greater than 7/9, (9,1) is a solution to the inequality.

3) Substitute (-9,-1) into the inequality:
-1 > 1/9(-9) - 2/9
-1 > -1 - 2/9
-1 > -11/9
Since -1 is not greater than -11/9, (-9,-1) is not a solution to the inequality.

Therefore, the only point that is a solution to the inequality y > 1/9x - 2/9 is (9,1).