Overview of Chapter 3

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# Overview of Chapter 3 - PowerPoint PPT Presentation

Slope Y= mx+b Line of best fit Barbie Bungee Point-slope equation Systems of Equations Graphing Elimination Substitution . Overview of Chapter 3. Recursive Explicit Linear Equations. 3.1. Goal. Given one form if a linear equation, convert it to one of the other forms. .

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Slope

• Y=mx+b
• Line of best fit
• Barbie Bungee
• Point-slope equation
• Systems of Equations
• Graphing
• Elimination
• Substitution

### RecursiveExplicit Linear Equations

3.1

Goal
• Given one form if a linear equation, convert it to one of the other forms.
Remember when….?
• What does the graph of an arithmetic sequence look like?
• We know there is another way calculate linear equations other than knowing the previous term right?
• Recursions are ONE type of equation. We will learn the other EQUIVALENT forms.
Recursive
• Find the next term by looking at the previous
Explicit
• b = Y-intercept. The initial value ( in the recursion.
• a= Slope (d in the recursion)
• Nice because you do not have to know the previous term to find the next.
Linear
• y=mx+b
• m=slope
• b=y-intercept
• Linear uses x and y.
So…

You will be given one of the three types just discussed, and will be asked to write it in a different way.

Example 1
• Given the recursion
• Find the explicit formula
• Find using the explicit
• Find n such that

slope initial value

2.

3. 86=6n+2

n=14

You try!
• Given the recursion
• Find the explicit formula
• Find using the explicit
• Find n such that
Example 2
• You spend \$2 a day on lunch and have \$17 left after today.

Write a recursive and explicit formula modeling this situation.

So:

Recursive:

Explicit:

Example 3
• Write an equation in the form y=a +bx of the line the passes through the points of an arithmetic sequence with and a common difference of -5.7.