Final answer:
To solve the system of linear equations using a graph, convert the equations into slope-intercept form, graph them on the same coordinate plane, and identify the intersection point, which represents the solution to the system.
Step-by-step explanation:
Using the graph to solve the system of linear equations involves finding the point where the two lines intersect. The system given is: 2x - y = -2 and 2x + 4y = 8. When these two equations are graphed on a coordinate plane, their intersection represents the solution to the system.
The process of graphing each equation involves converting them into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The first step is to solve each equation for y:
- For 2x - y = -2, solve for y to get y = 2x + 2.
- For 2x + 4y = 8, solve for y to get y = -0.5x + 2.
Both lines should then be graphed on the same set of axes. The point where they cross is the solution to the system. If these lines are graphed carefully, their intersection, which represents the solution in the form (x, y), can be determined by observing the graph.