Final answer:
To solve the system of equations y = x + 4 and y = 2/3x + 2 graphically, plot the points on each line and draw a straight line through them. The point of intersection gives the solution to the system.
Step-by-step explanation:
To solve the system of equations graphically, we need to plot the lines represented by the equations y = x + 4 and y = 2/3x + 2 on the same set of axes and find their point of intersection.
First, let's find some points on each line by choosing values for x and calculating the corresponding y values. For example, for the first equation, when x = 0, y = 4. Plot the points on the graph. Next, draw a straight line through the points on each line. The point where these lines intersect is the solution to the system of equations. In this case, the lines intersect at (2, 6). Therefore, the solution to the system of equations is x = 2 and y = 6.