https://r2.erweima.ai/mathbot/image/1725743445218onn8k8g5.jpg

In the image, the mathematical content includes a few things:

1. **Equations of lines**:
   - \( y_1 = 5x - 8 \) for \( x \leq -2 \)
   - \( y_2 = 6x + 21 \) for \( x > -2 \)
   - The task is to find the coordinates of the point of intersection \( (a, b) \) of these lines.

2. **Graph**:
   - There is a graphical representation of the lines intersecting, likely corresponding to the equations mentioned above.

3. **Another quadratic equation**:
   - \( y = x^2 - 13 \), with a graph that shows a parabola, possibly illustrating the function.

4. **Step-by-step solving for the intersection of lines**:
   - The process of finding the point of intersection \( (a, b) \), and it looks like it's partially solved.

Would you like me to go through solving the intersection of the lines and explain how to solve the quadratic function, or go into another part of the image's content?

Find the intersection point of two lines: y1 = 5x - 8 for x ≤ -2 and y2 = 6x + 21 for x > -2. Also, graph the quadratic function y = x^2 - 13.

This problem involves finding the intersection point between two linear equations and graphing a quadratic function y = x^2 - 13. Detailed steps are provided for solving the system of linear equations and plotting the parabola. Ideal for students in Grades 9-11.

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