8 2 Notes

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

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