Peyton steers a remote-control car. The equation y=3x+4 can be used to find y, the car's distance from peyton in feet, after x seconds.

Question

identify the y-intercept, what does it tell you about the car?
The y-intercept is ___. It tells you the car starts ___ feet from peyton.

Answer 1

The y-intercept of the equation \( y = 3x + 4 \) is the value of \( y \) when \( x = 0 \).

To find the y-intercept, set \( x = 0 \):

\[ y = 3(0) + 4 = 4 \]

Thus, the y-intercept is \( 4 \).

This means that the car starts \( 4 \) feet from Peyton.

So, you can complete your sentence as follows:

The y-intercept is 4. It tells you the car starts 4 feet from Peyton.