the graph of y=-1/3x+3 is shown on the grid

what ordered pair is in the solution of the set y>-1/3x+3?
reponses (0,3), (-2,1), (-1,5), (7-1), not here

1 answer

To find which ordered pair is in the solution of the set y > -1/3x + 3, we need to plug in the x and y values of each ordered pair into the inequality y > -1/3x + 3 and see which ones satisfy the inequality.

Let's check each ordered pair:

1. (0, 3):
y = 3
x = 0
3 > -1/3(0) + 3
3 > 3
This is not true, so (0, 3) is not in the solution set.

2. (-2, 1):
y = 1
x = -2
1 > -1/3(-2) + 3
1 > 2 + 3
1 > 5
This is not true, so (-2, 1) is not in the solution set.

3. (-1, 5):
y = 5
x = -1
5 > -1/3(-1) + 3
5 > 1/3 + 3
5 > 3.33 + 3
5 > 6.33
This is not true, so (-1, 5) is not in the solution set.

4. (7, -1):
y = -1
x = 7
-1 > -1/3(7) + 3
-1 > -2.33 + 3
-1 > 0.66
This is true, so (7, -1) is in the solution set.

Therefore, the ordered pair in the solution of the set y > -1/3x + 3 is (7, -1).
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