(0,2), (-2,0), (0,-2), (2,0) In the graph for the solution set of the inequality 4x-3y>6, identify the coordinate that is a solution.
To determine which of the given coordinates is a solution to the inequality 4x - 3y > 6, we can substitute the x and y values into the inequality and check if it holds true.
Let's substitute the values for each of the given coordinates:
1. For the coordinate (0,2):
4(0) - 3(2) = 0 - 6 = -6
Is -6 > 6?
No, so (0,2) is not a solution to the inequality.
2. For the coordinate (-2,0):
4(-2) - 3(0) = -8 - 0 = -8
Is -8 > 6?
No, so (-2,0) is not a solution to the inequality.
3. For the coordinate (0,-2):
4(0) - 3(-2) = 0 + 6 = 6
Is 6 > 6?
No, so (0,-2) is not a solution to the inequality.
4. For the coordinate (2,0):
4(2) - 3(0) = 8 - 0 = 8
Is 8 > 6?
Yes, so (2,0) is a solution to the inequality.
Therefore, the coordinate that is a solution to the inequality 4x - 3y > 6 is (2,0).