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Chapter 8 – Functions and
                Graphing
         8.2 – Linear Equations in
               Two Variables
Did you know that crickets can
tell the temperature?
  Chirps in           Temperature
 15 seconds T = c+ 40    ( F)                       100
     21                                             90
     23                                             80
     31
                                                    70




                                      Temperature
     50
                                                    60
     47
                                                    50
•Write the relation as a set of                     40
coordinate points.
                                                    30
                                                    20
•What is the domain of the                          10
relation?
                                                      10 20 30 40 50 60
                                                    Chirps in 15 seconds
•What is the range of the relation?
Staircase Towers

  What expression can
  we use to represent
  the nth tower?

  B = 2n + 1
number of   tower number
blocks




                           1   2   3   4
Let’s use the pattern to make a
table of values.
n    B = 2n + 1 B (n, B)
1   B = 2(1) + 1 3 (1, 3)
2   B = 2(2) + 1 5
3   B = 2(3) + 1
4
5
6
7
8
A linear equation in two variables is
 an equation in which the variables
 appear in separate terms and neither
 variable contains an exponent other
 than the number 1.




Use an x-y table to find solutions to linear
relations or equations.
Find four solutions of the equation.
Then write the solutions as ordered
pairs.
            y=x+1
        x   y=x+1     y (x, y)
Find four solutions for y = 4x – 3. Then
graph y = 4x – 3.

x y = 4x – 3 y
Find four solutions for x + y = 10. Then
graph x + y = 10.

     x   y
Use a table to graph y = -2.

     x   y
Questions?



• Homework:
    8.2 pg 378
     #6-48
     (div by 3)

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8 2 Notes

  • 1. Chapter 8 – Functions and Graphing 8.2 – Linear Equations in Two Variables
  • 2. Did you know that crickets can tell the temperature? Chirps in Temperature 15 seconds T = c+ 40 ( F) 100 21 90 23 80 31 70 Temperature 50 60 47 50 •Write the relation as a set of 40 coordinate points. 30 20 •What is the domain of the 10 relation? 10 20 30 40 50 60 Chirps in 15 seconds •What is the range of the relation?
  • 3. Staircase Towers What expression can we use to represent the nth tower? B = 2n + 1 number of tower number blocks 1 2 3 4
  • 4. Let’s use the pattern to make a table of values. n B = 2n + 1 B (n, B) 1 B = 2(1) + 1 3 (1, 3) 2 B = 2(2) + 1 5 3 B = 2(3) + 1 4 5 6 7 8
  • 5. A linear equation in two variables is an equation in which the variables appear in separate terms and neither variable contains an exponent other than the number 1. Use an x-y table to find solutions to linear relations or equations.
  • 6. Find four solutions of the equation. Then write the solutions as ordered pairs. y=x+1 x y=x+1 y (x, y)
  • 7. Find four solutions for y = 4x – 3. Then graph y = 4x – 3. x y = 4x – 3 y
  • 8. Find four solutions for x + y = 10. Then graph x + y = 10. x y
  • 9. Use a table to graph y = -2. x y
  • 10. Questions? • Homework: 8.2 pg 378 #6-48 (div by 3)