Here is the graph of the function $Y = 4x - 8$. The line has a slope of 4 and a y-intercept at -8, showing how it moves upward steeply as $x$ increases.

Would you like more details on how this graph was created or have any questions?

Here are some related questions for further exploration:

1. How do we calculate the slope and y-intercept from an equation like $Y = 4x - 8$?
2. How would the graph change if the slope was different (e.g., 2 or -3)?
3. What is the significance of the y-intercept in a linear equation?
4. How would the graph change if the equation was $Y = 4x + 8$ instead?
5. Can you find the x-intercept of the graph of $Y = 4x - 8$?

Tip: The slope of a line indicates how much $Y$ changes for each unit increase in $x$. A higher slope means a steeper line.