Here is the graph of the equation $y = x - 8$. The line has a slope of 1, meaning it rises one unit up for every unit it moves to the right, and it crosses the y-axis at -8.

Would you like more details about this graph, or do you have any other questions?

Here are some related questions for further exploration:

1. What is the significance of the slope in the equation $y = x - 8$?
2. How would the graph change if the equation were $y = 2x - 8$?
3. What happens to the line if we change the intercept to $y = x + 5$?
4. How can you find the x-intercept of this line?
5. What does the point of intersection of two lines represent in terms of equations?

Tip: In linear equations, the slope determines the steepness of the line, while the y-intercept shows where the line crosses the y-axis.