Answer:
Graph A
Explanation:
We can draw a line by using only two points so we will find two points for each equation
Blue line: y = -1/2x + 3
For x = 0, y = 3
For y = 0, x = 6
Which is the blue line on graph A because its y-intercept (basically x=0) is (3,0) and its x-intercept(basically x=0) is (6,0)
Red line: y = x
For x = 1, y = 1
For x = 2, y = 2
Which is the red line on graph A because when x is 1 y is also 1 (see the graph) and when x is 2 y is also 2 (see the graph)
This should be enough because the other graph is completely different from graph A but here is the solution the system
y=-1/2x+3 | ×2
y=x
2y=-x+6
y=x
*Sum the equations*
2y+y=-x+6+x
3y=6
y=2
Now substitute y in y=x for example (it's easier) 2=x
So the point of interception is (2,2) as on graph A