Question
The graph of y =-1/3x+3 is shown on the grid.
Which ordered pair is in the solution set of y >-1/3x+3
• (0,3)
• (-2,1)
O (-1,5)
• (7,-1)
• Not here
Which ordered pair is in the solution set of y >-1/3x+3
• (0,3)
• (-2,1)
O (-1,5)
• (7,-1)
• Not here
Answers
GPT 3.5
The solution set of y > -1/3x + 3 consists of all the points that satisfy the inequality. To determine which ordered pair is in the solution set, we can compare the y-value of each point to the y-value of the graph at that x-value.
For (0,3), the y-value is 3. Substituting x = 0 into the equation y = -1/3x + 3, we get y = 3. Since 3 > 3 is not true, (0,3) is not in the solution set.
For (-2,1), the y-value is 1. Substituting x = -2 into the equation y = -1/3x + 3, we get y = 2. Since 1 > 2 is not true, (-2,1) is not in the solution set.
For (-1,5), the y-value is 5. Substituting x = -1 into the equation y = -1/3x + 3, we get y = 4. Since 5 > 4 is true, (-1,5) is in the solution set.
For (7,-1), the y-value is -1. Substituting x = 7 into the equation y = -1/3x + 3, we get y = 1. Since -1 > 1 is not true, (7,-1) is not in the solution set.
Therefore, the ordered pair in the solution set of y > -1/3x + 3 is (-1,5).
For (0,3), the y-value is 3. Substituting x = 0 into the equation y = -1/3x + 3, we get y = 3. Since 3 > 3 is not true, (0,3) is not in the solution set.
For (-2,1), the y-value is 1. Substituting x = -2 into the equation y = -1/3x + 3, we get y = 2. Since 1 > 2 is not true, (-2,1) is not in the solution set.
For (-1,5), the y-value is 5. Substituting x = -1 into the equation y = -1/3x + 3, we get y = 4. Since 5 > 4 is true, (-1,5) is in the solution set.
For (7,-1), the y-value is -1. Substituting x = 7 into the equation y = -1/3x + 3, we get y = 1. Since -1 > 1 is not true, (7,-1) is not in the solution set.
Therefore, the ordered pair in the solution set of y > -1/3x + 3 is (-1,5).