Answer:     
The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
Step-by-step explanation:
The first equation is given to be :
y = -x + 2
x       0         2
y       2         0
The second equation is :
y = 3x + 1
x       0        -1/3
y       1         0
Now, The graphs of both the equation are attached below :
So, By seeing the graph, We can observe :
- Line y = −x + 2 intersects line y = 3x + 1.
- Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
- Lines y = −x + 2 and y = 3x + 1 intersect the y-axis
But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.
Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.