This worksheet is designed for students to practice solving systems of equations by using the graphing method. I always start the system of equation unit with this method, as it builds on student's knowledge of graphing and is fairly simple for students to solve and see what is going on with the two equations.
I advise students that solving systems by graphing is a little tedious and takes a bit of time - there are better ways to solve systems that we will be learning soon (substitution and elimination). Solving by graphing is only convenient when both equations are written in slope intercept form, and can easily fit onto a graph. I don't get heavily into graphing equations that are written in standard form, as nobody solves that way if the equations are written in that form. Most, if not all, people will solve by elimination if both equations are written in standard form. If one is in standard form and the other in slope intercept (or with x by itself), the majority of people will solve by substitution.
There are a few equations on this paper that are written in standard form, but can be easily graphed by using the x and y intercepts.
I have included the answer key for this worksheet. I found this worksheet as an effective way to introduce solving systems of equations to my 9th grade algebra 1 classes.