Question

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. 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

The slope-intercept form of a linear equation 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

The y-intercept occurs when $x=0$ (time = 0 seconds, start time).

Answer:

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