The graph of the functions $y = x^2 - 5x - 3$ (blue curve) and $y = x - 2$ (red line) shows two points of intersection. The coordinates of these points are approximately:

1. $(6.16, 4.16)$
2. $(-0.16, -2.16)$

These are the points where both functions intersect on the graph.

Would you like further details, or do you have any questions?

Here are five related questions to explore further:

1. How do you find the intersection points algebraically?
2. Can we find the tangent lines at the intersection points?
3. What is the significance of the roots of a quadratic function?
4. How does the graph of $y = x^2 - 5x - 3$ shift compared to $y = x^2$?
5. How would the graph change if we modify the linear function $y = x - 2$?

Tip: Intersection points of two functions occur where the values of the functions are equal at the same $x$. Solving the equation $f(x) = g(x)$ helps find these points.