Which system of equations is best represented by this graph

Answer:
option F
Step-by-step explanation:
The line that slopes backwards, has an x-intercept at 9 and y-intercept at 4.
The equation is given by:
[tex] \frac{x}{9} + \frac{y}{4} = 1[/tex]
This implies that:
[tex]4x + 9y = 36[/tex]
The line that slopes forward has a y-intercept of -2 and a slope of 3
The equation is given by:
[tex]y = 3x - 2[/tex]
or in standard form:
[tex]3x - y = 2[/tex]
The correct choice is F