Final answer:
None of the given point sets A, B, C, or D correctly represent solutions to the equation 4x - 2y = 6. This can be verified by substituting the x and y values from each point into the equation and evaluating whether the result equals 6.
Step-by-step explanation:
To determine which set of points are solutions to the equation 4x − 2y = 6, we need to plug each x and y value from the points into the equation and see if the equation holds true.
- Set A: (2, -5), (4, -4), (6, -3) does not satisfy the equation, as plugging these points into the equation does not produce a true statement.
- Set B: (-2, 7), (0, 6), (2, 5) are all solutions since substituting these points into the equation 4x − 2y = 6 yields the equation 4(-2) − 2(7) = -8 − 14 = -22 ≠ 6, 4(0) − 2(6) = 0 − 12 = -12 ≠ 6, and 4(2) − 2(5) = 8 − 10 = -2 ≠ 6 respectively, which are not true, therefore Set B is not a solution.
- Set C and Set D also do not satisfy the equation for the same reasons as Set A and Set B.
After evaluating each set, none of the points in sets A, B, C, or D satisfy the equation 4x − 2y = 6.