It seems you've uploaded an image, but I can't directly interpret the graphs without a detailed description. However, based on your request, you want an explanation similar to the provided solution. Let me clarify:

The provided solution involves calculating the slope of a tangent line to a curve, specifically $f(x) = x^2$, at a point, using the definition of the slope as the ratio of the change in $y$ to the change in $x$. This corresponds to a geometric interpretation of the derivative.

If you provide me with descriptions or specific equations from the graphs you are referring to (graph 1 and graph 2), I can help you calculate and explain the slopes at specific points in a similar style. Feel free to describe the graphs or upload clearer information regarding the functions involved.

Do you want to proceed with more details, or would you prefer I help based on a description of the graphs?

Here are 5 related questions you can consider:

1. How do you find the slope of a tangent line for any function $f(x)$?
2. What is the derivative of $f(x) = x^2$ and how does it relate to the slope?
3. How does the slope of the tangent line change at different points on $f(x) = x^2$?
4. Why is the tangent line steeper as you move further from the origin in a parabolic graph like $f(x) = x^2$?
5. How does estimating the slope geometrically differ from calculating it analytically using derivatives?

Tip: Always remember that the slope of the tangent line at a given point on a curve is the derivative of the function evaluated at that point.