Chapter Seven:  Graphs and Linear Equations

Take notes on the following topics.

Chapter Seven

Section 7.1

Section 7.2

Section 7.3

Section 7.4

Section 7.5

Section 7.6

Section 7.7

Section 7.8

Section 7.9

Section 7.10

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Section 7.2     Graphing Equations

(Examples provided by Prentice Hall)

Part I: Solutions of Equations in Two Variables

Verify and find solutions to the equations given.

 

Example 1		Determine whether (2, 4) is a solution of y = 3x – 2. (4) = 3(2) – 2 4 = 4 The equation is true. (2, 4) is a solution.
Example 2	Determine whether (3, –2) is a solution of 5y = 4x – 22. 5(–2) = 4(3) – 22 –10 = –10 The equation is true. (3, –2) is a solution.
Example 3	Find three solutions of the equation y = 2x + 11. If x = 1, then y = 2(1) + 11 = 13.  The ordered pair is (1, 13). If x = 2, then y = 2(2) + 11 = 15.  The ordered pair is (2, 15).   If x = 3, then y = 2(3) + 11 = 17.  The ordered pair is (3, 17).

Part II: Graphing Equations

Graph the equation.

 

Example 1

6x + 2y = 4 Start by solving the equation for y. 6x + 2y = 4 2y = 4 – 6x y = 2 – 3x Create a table of solutions. x –1 0 1 2 y 5 2 –1 –4 Graph each solution and connect the points with a straight line.

Take class notes.