Algebra 2 January 26 2009. 1. What are the 3 steps to graphing a linear equation? (section 2.2; Jan 12) 2. What is true about the slopes of perpendicular.

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Presentation transcript:

Algebra 2 January

1. What are the 3 steps to graphing a linear equation? (section 2.2; Jan 12) 2. What is true about the slopes of perpendicular lines? (section 2.2; Jan 13) 3. What is the vertex of an absolute value graph? (section 2.5; Jan 16) 4. What is a family of functions? (section 2.6; Jan 20)

1. - Choose two values for x and find the corresponding values for y - Plot the point for each ordered pair - Complete the graph by drawing a line through the points 2. They are opposite reciprocals of each other. 3. The point where the graph reaches a maximum or a minimum 4. A group of functions all with common characteristics

 Two or more equations that use the same variables make a system of equations:  The solution of a system of equations is an ordered pair that will make all of the equations true:

 Method 1: Solving by Graphing  Method 2: Solving by Substitution  Method 3: Solving by Addition or Subtraction  Method 4: Solving with Matrix Equations (Chapter 4)

 Solving a system by graphing: ◦ Graph the two equations on the same set of axes. ◦ Determine the point of intersection  THIS ORDERED PAIR IS THE SOLUTION!!!

 Solve each system of equations by graphing. Check your answer on the calculator:

 3 Classifications of Linear Systems: #1: Independent Systems One Solution Intersecting Lines *Different Slopes

#2: Dependent Systems Many Solutions/No Unique Solution Coinciding Lines/Same Line *Same slope, Same y-intercept

#3: Inconsistent Systems No Solution (Will Never Intersect) Parallel Lines *Same slope, different y-intercept

 Without graphing, determine if each system is independent, dependent, or inconsistent.

 Pg 120 #1, 4, 6, 7, 13-18, 37, 44, 56-58