Final Answer:
The ordered pair that represents a solution to the equations graphed on the coordinate grid is D. (2,-3).
Step-by-step explanation:
In the given coordinate grid, the two lines intersect at the point (2,-3). This intersection point is a solution to the system of equations represented by the lines. To understand why, consider that each point on the graph corresponds to an ordered pair (x, y), where x is the horizontal coordinate and y is the vertical coordinate.
In this case, the point of intersection (2,-3) means that when x is 2, and y is -3, these values satisfy both equations simultaneously. Each line on the graph represents an equation, and the point of intersection is where the solutions to both equations coincide. Therefore, by substituting x=2 and y=-3 into each equation separately, you will find that both equations hold true, confirming that (2,-3) is indeed a solution.
Mathematically, if we denote the equations as Equation_1 and Equation_2, substituting x=2 and y=-3 into both equations should result in true statements:
Equation_1(2, -3) = True
Equation_2(2, -3) = True
Therefore, D. (2,-3) is the correct ordered pair that satisfies the system of equations represented by the two lines on the coordinate grid.