From the uploaded image, I can identify that the task involves solving a system of equations by graphing. The given system of equations is:

1. $y = 2x - 4$
2. $y = x$

Steps to Solve:

1. Graph the first equation ($y = 2x - 4$):

   • This is a straight line with a slope of 2 and a y-intercept of -4.
   • Plot the point $(0, -4)$ (the y-intercept).
   • Use the slope $2$ (rise over run) to find additional points. For every 1 unit increase in $x$, $y$ increases by 2.

2. Graph the second equation ($y = x$):

   • This is a straight line with a slope of 1 and a y-intercept of 0.
   • Plot the point $(0, 0)$.
   • Use the slope $1$ to find additional points. For every 1 unit increase in $x$, $y$ also increases by 1.

3. Find the point of intersection:

   • The solution to the system is where the two lines intersect.
   • Observing the graph in the image, the lines intersect at $(4, 4)$.

Solution:

The solution to the system of equations is $\mathbf{(4, 4)}$.

Would you like further details or assistance?
Here are 5 related questions for exploration:

1. How do you verify the solution of a system of equations algebraically?
2. What are the differences between solving a system graphically, algebraically, or using substitution?
3. How can you determine if a system has no solution or infinitely many solutions?
4. What happens when the slopes of the two lines in a system are equal?
5. How do you write the equations of lines in slope-intercept form if given two points?

Tip: Always label the axes and key points on your graph to ensure clarity in your solution!