Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2 B) y = 2x + 7; y = 2x - 2 C) y = 2x + 7; y = 2x + 2 D) y = 2x - 7; y = 2x + 2

Answer:
C) y = 2x + 7; y = 2x + 2
Step-by-step explanation:
The two lines are parallel and so will have the same slope.
From the graph, the slope of both lines are two.
Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c
The blue line has a y-intercept of 2 so the equation is
[tex]y = 2x + 2[/tex]
The red line has a y-intercept of -7 so the equation is
[tex]y = 2x - 7[/tex]
Hence the system is
y=2x+2
y=2x-7
The correct answer is C