To solve the system of equations graphically, we need to plot both lines on the same set of axes and find their point of intersection. The equations are:

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

Step 1: Plot the first equation $y = 2x - 4$

• Slope: The slope is $2$, which means for every unit you move to the right, the line goes up by 2 units.
• Y-intercept: The y-intercept is $-4$, meaning the line crosses the y-axis at $(0, -4)$.

Using these, you can plot the line by:

1. Starting at $(0, -4)$ on the y-axis.
2. Use the slope: move right by 1 unit and up by 2 units. Plot the point.
3. Repeat this for a few points to create the line.

Step 2: Plot the second equation $y = -x - 1$

• Slope: The slope is $-1$, which means for every unit you move to the right, the line goes down by 1 unit.
• Y-intercept: The y-intercept is $-1$, meaning the line crosses the y-axis at $(0, -1)$.

To plot this:

1. Start at $(0, -1)$ on the y-axis.
2. Use the slope: move right by 1 unit and down by 1 unit. Plot the point.
3. Repeat this for a few points to create the line.

Step 3: Find the intersection

Once both lines are plotted, look for the point where they intersect. This point is the solution to the system of equations, as it satisfies both equations simultaneously.

Would you like me to generate a graph for you, or do you want to try plotting it yourself?