The equation given is $y = 3x + 4$, which represents a linear relationship between the car's distance from Peyton ($y$) in feet and time ($x$) in seconds.

From the information:

• The $y$-intercept is 4, which tells us that the car starts 4 feet away from Peyton at $x = 0$.

The task asks to plot the $y$-intercept on the graph. To do this:

• The point $(0, 4)$ represents the starting position of the car on the graph.

To plot this:

1. Find the point where $x = 0$ on the horizontal axis (time in seconds).
2. Move vertically up to $y = 4$ on the vertical axis (distance in feet).
3. Mark this point on the graph.

Would you like help plotting this further, or do you have any other questions?

Here are five related questions to expand on this:

1. How do you determine the slope from the equation $y = 3x + 4$?
2. What does the slope of 3 represent in terms of the car’s movement?
3. How would the graph change if the slope were steeper, like $y = 5x + 4$?
4. What would the graph look like if the equation were $y = -3x + 4$?
5. How can you calculate the car’s distance from Peyton after 5 seconds?

Tip: The slope in a linear equation represents the rate of change, and in this case, it's the car's speed in feet per second!