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There are infinitely many points that do not lie on the line x + 2y = 9, some of which are (0, 0), (1, 1), (2, 2), (1, 2), (2, 1), (500, 122342), (12122, 567).

To decide if a given point lies on the line put the values for its x and y coordinates into the equation and see if it they equal 9:

for points:

(0, 0): x + 2y = 0 + 2 × 0 = 0 ≠ 9 → (0, 0) is not on the line

(1,0) : x + 2y = 1 + 2 × 0 = 1 ≠ 9 → (1, 0) is not on the line

(1, 2) : x + 2y = 1 + 2 × 2 = 5 ≠ 9 → (1, 2) is not on the line

(1, 4) : x + 2y = 1 + 2 × 4 = 9 = 9 → (1, 4) is on the line

If you had a set of points given to you from which you had to select the one not on the line, you'll need to test each one separately, as above, to find which one does not work.

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