Which system of linear inequalities is represented by the graph?

the first one (y=x+3 and 3x-y=2)

Step-by-step explanation:

y=x+3 is the red line, while 3x-y=2 is blue.

For red, the slope is 1/3 because the y value of the function only increases by one (between x values 0 and 3) while the x value increases by 3.  The y intercept is also 3.

Blue can also be rewritten as 3x-2=y.  From this, we can get a lot of information.  the y-intercept is 2, and the slope is 3.