Question 26

Graph A represents the equation x - 2y = 4.

Graph A correctly illustrates the relationship defined by the equation x - 2y = 4, showcasing the linear nature of the equation with a suitable slope and intercept.

A) M-58A.png

This graph accurately depicts the equation x - 2y = 4. It demonstrates the correct slope and y-intercept derived from rearranging the equation into slope-intercept form, confirming its validity.

B) M-58B.png

Graph B does not represent the equation x - 2y = 4. The slope and intercept in this graph differ from those calculated from the equation, thus failing to accurately illustrate the linear relationship.

C) M-58C.png

Graph C fails to represent the equation x - 2y = 4. Analyzing its features shows that it does not align with the expected slope and intercept values derived from the equation.

D) M-58D.png

Graph D is incorrect as it does not match the equation x - 2y = 4. The characteristics of this graph do not correspond to the linear equation, indicating that it is not a valid representation.

Conclusion

Graph A is definitively correct as it accurately reflects the equation x - 2y = 4, while the other graphs do not maintain the required slope and intercept characteristics necessary for the equation. This distinction underscores the importance of understanding linear equations and their graphical representations.