Questions: Graph Linear Equations - Instruction - Level H 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 slope. What does it tell you about the car's distance from Peyton after 1 second? The slope is ? . After 1 second, the car's distance ? by ? feet.

Graph Linear Equations - Instruction - Level H

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 slope. What does it tell you about the car's distance from Peyton after 1 second?

The slope is ? . After 1 second, the car's distance ? by ? feet.

Transcript text: Graph Linear Equations - Instruction - Level H Peyton steers a remote-control car. The equation $y=3 x+4$ can be used to find $y$, the car's distance from Peyton in feet, after $x$ seconds. Identify the slope. What does it tell you about the car's distance from Peyton after 1 second? The slope is ? . After 1 second, the car's distance ? $\square$ by $?$ feet.

Solution

Solution Steps

Step 1: Identify the slope

The equation is in slope-intercept form, _y = mx + b_, where _m_ is the slope and _b_ is the y-intercept. In the given equation, _y = 3x + 4_, the slope is 3.

Step 2: Interpret the slope

The slope represents the rate of change of the car's distance from Peyton. In this case, the slope is 3, meaning the car's distance from Peyton increases by 3 feet every second.

Step 3: Determine the change in distance after 1 second

Since the slope is 3, after 1 second, the car's distance increases by 3 feet.