Each of the following is a solution to the equation x- 2y = 4 EXCEPT

Rationale

(0,2) is not a solution to the equation x - 2y = 4.

To verify if a point is a solution to the equation, substitute the x and y values into the equation. The point (0,2) does not satisfy the equation, while the others do.

A ((-2,-3)) YOUR ANSWER

Substituting x = -2 and y = -3 into the equation gives: -2 - 2(-3) = -2 + 6 = 4. This satisfies the equation, confirming that (-2,-3) is indeed a solution.

B ((0,2)) CORRECT

Substituting x = 0 and y = 2 results in: 0 - 2(2) = 0 - 4 = -4, which does not equal 4. Therefore, (0,2) is not a solution to the equation x - 2y = 4.

C ((4,0)) YOUR ANSWER

Substituting x = 4 and y = 0 yields: 4 - 2(0) = 4 - 0 = 4. This confirms that (4,0) is a solution to the equation.

D ((8,2)) YOUR ANSWER

For the point (8,2), substituting gives: 8 - 2(2) = 8 - 4 = 4. This satisfies the equation, confirming that (8,2) is also a solution.

Conclusion

To determine which points satisfy the equation x - 2y = 4, each point must be substituted into the equation. While (-2,-3), (4,0), and (8,2) satisfy the equation, (0,2) does not, making it the only incorrect choice. This exercise demonstrates the importance of checking each potential solution against the defined equation to identify valid and invalid pairs.

Each of the following is a solution to the equation x- 2y = 4 EXCEPT

(0,2) is not a solution to the equation x - 2y = 4.

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