How Do You Solve a System of Equations by Graphing?

For this problem, use the graphing method to find the solution
Putting the equations into slope-intercept form, 'y=mx+b', should make graphing them easier
Start by graphing 'y=2x-2', which has a y-intercept of -2 and a slope of 2
Then graph 'y=-2x+6', which has a y-intercept of 6, and a slope of -2
The point (2,2) where the lines intersect is the solution to the system of equations

1. For this problem, use the graphing method to find the solution
2. Putting the equations into slope-intercept form, 'y=mx+b', should make graphing them easier
1. 'y=2x-2' and 'y=-2x+6' are in slope-intercept form
2. To graph 'y=2x-2', first plot the y-intercept, -2
3. Then use the slope, 2, to plot the next two points
4. Finally, draw a line through the three points to graph the line
5. Repeat this process to graph 'y=-2x+6' as well
1. The two lines intersect at the point (2,2)
2. This point is the solution!
1. Plug the point (2,2) into the original equations to see if the solution is correct
1. The solution (2,2) was correct!

Find the solution to the following system of equations: 2x – y = 2 2x + y = 6