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Overview of Chapter 3

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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Overview of Chapter 3

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  1. Slope • Y=mx+b • Line of best fit • Barbie Bungee • Point-slope equation • Systems of Equations • Graphing • Elimination • Substitution Overview of Chapter 3

  2. RecursiveExplicit Linear Equations 3.1

  3. Goal • Given one form if a linear equation, convert it to one of the other forms.

  4. 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.

  5. Recursive • Find the next term by looking at the previous

  6. 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.

  7. Linear • y=mx+b • m=slope • b=y-intercept • Linear uses x and y.

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

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

  10. Example 1: answers slope initial value 2. 3. 86=6n+2 n=14

  11. You try! • Given the recursion • Find the explicit formula • Find using the explicit • Find n such that

  12. 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:

  13. 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. • Answer: -5.7=slope=b y=20-5.7x

  14. Homework • 3.1 • Problems: 1,4,5

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