Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.
y-2x=2
4y=8x+8
se the graphing tool to graph the system.
Part 2
Select the correct choice below and fill in any answer boxes present in your choice.
A.
The solution of the system is
enter your response here.
(Type an ordered pair.)
B.
There are infinitely many solutions.
C.
There is no solution.
To solve the system by graphing, let's rearrange the equations in slope-intercept form (y = mx + b):
y - 2x = 2
y = 2x + 2
4y = 8x + 8
y = 2x + 2
These equations have the same slope (m = 2) and the same y-intercept (b = 2), so the lines they represent will be the same line.
By graphing these equations, we will see that the lines are identical and intersect at all points. Therefore, the system has infinitely many solutions.
The solution of the system is: B. There are infinitely many solutions.