Which system is represented by the graph?

Answer:
The answer to your question is the first option
Step-by-step explanation:
Process
1.- Identify the y-intercepts of the lines
blue line y-intercept = -1
brown line y-intercept = -2
With this information, we can discard the last option because those lines don't have those y-intercepts.
2.- We observe in the graphs that the lines are increasing so the slopes are positive. From this information, we can discard the second option.
3.- Calculate the slopes of the lines of options 1 and 3
Blue line Points (0, -1) (1, 2)
m = [tex]\frac{2 + 1}{1 - 0} = \frac{3}{1} = 3[/tex]
Brown line Points (0, -2) (1, 1)
m = [tex]\frac{1 + 2}{1 - 0} = 3[/tex]
As the slopes are 3, we conclude that the answer is the first option.