Question

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

Explanation:

Step1: Recall slope-intercept form

A linear equation in slope-intercept form is $y = mx + b$, where $b$ is the y-intercept.

Step2: Match given equation to form

For $y = 3x + 4$, compare to $y = mx + b$. Here, $b = 4$.

Step3: Interpret the y-intercept

When $x=0$ (time starts, 0 seconds), $y$ equals the y-intercept, which is the initial distance.

Answer:

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