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. the $y$-intercept is 4. it tells you the car starts 4 feet from peyton. plot the $y$-intercept on the graph.

Explanation:

Step1: Identify y-intercept form

The equation is in $y=mx+b$ form, where $b$ is the y-intercept. For $y=3x+4$, $b=4$.

Step2: Define intercept coordinates

The y-intercept occurs at $x=0$. Substitute $x=0$:
$y=3(0)+4=4$. So the point is $(0, 4)$.

Step3: Locate point on graph

On the graph, find $x=0$ (vertical axis) and $y=4$, then plot this point.

Answer:

Plot the point at the coordinates $(0, 4)$ (on the vertical axis, 4 units above the origin).