https://file.aiquickdraw.com/mathbot/file/1727370384850fauc7b26.jpg

The graph shows the system of equations:

1. \( y = \frac{2}{3}x + 4 \) (blue line)
2. \( y = -x - 1 \) (red line)

The intersection of these lines represents the solution to the system. The lines intersect at the point \( (3, 1) \), which is the solution to the system of equations.

So, the solution is:
\[
x = 3, \quad y = 1
\]

Do you need any further explanation or details?

Here are 5 related questions to explore:
1. How do you solve systems of equations using substitution?
2. What is the significance of the slope in linear equations?
3. Can all systems of equations be solved graphically?
4. What are the differences between solving systems graphically, algebraically, and using matrices?
5. How does changing the slope or intercept affect the graph of a linear equation?

**Tip:** Always check the slope and intercept before graphing a linear equation to ensure accuracy.

Solve the system of equations by graphing: y = (2/3)x + 4 and y = -x - 1. Graph for all points.

Learn how to solve the system of linear equations y = (2/3)x + 4 and y = -x - 1 by graphing. The solution involves finding the point of intersection of two lines. Suitable for students in Grades 8-10.

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