Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.
On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).
Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:
[tex]\begin{gathered} y=-2x+5 \\ y=3x+2 \end{gathered}[/tex]
From the given options, the one that displays the correct system of equations is option A.
Therefore, the answer is:
[tex]\begin{gathered} A) \\ y=3x+2 \\ y=-2x+5 \end{gathered}[/tex]
