Introduction to Plotting Points on the Rectangular Coordinate System

What you’ll learn to do: Plot points on the rectangular coordinate system and find solutions to linear equations

Cyclists speed toward the finish line.Which cyclist will win the race? What will the winning time be? How many seconds will separate the winner from the runner-up? One way to summarize the information from the race is by creating a graph. In this chapter, we will discuss the basic concepts of graphing. The applications of graphing go far beyond races. They are used to present information in almost every field, including healthcare, business, and entertainment.

Before you get started in this module, try a few practice problems and review prior concepts.

Readiness Quiz

If you missed this problem, review the example below.

Evaluate [latex]x+7[/latex] when

[latex]x=3[/latex]
[latex]x=12[/latex]

Show Solution

If you missed this problem, review this example.

[latex]\text{Evaluate }3x+4y - 6\text{ when }x=10\text{ and }y=2[/latex].

Show Solution

If you missed this problem, review the following video.

	[latex]x+7[/latex]
Substitute.	[latex]\color{red}{3}+7[/latex]
Add.	[latex]10[/latex]

	[latex]x+7[/latex]
Substitute.	[latex]\color{red}{12}+7[/latex]
Add.	[latex]19[/latex]

	[latex]3x+4y-6[/latex]
Substitute [latex]\color{red}{10}[/latex] for x and [latex]\color{blue}{2}[/latex] for y.	[latex]3(\color{red}{10})+4(\color{blue}{2})-6[/latex]
Multiply.	[latex]30+8-6[/latex]
Add and subtract left to right.	[latex]32[/latex]

Chapter 5: Graphs