Algebra 2
January 26 2009
1.
2.
3.
4.
What are the 3 steps to graphing a
linear equation? (section 2.2; Jan 12)
What is true about the slopes of
perpendicular lines? (section 2.2; Jan 13)
What is the vertex of an absolute value
graph? (section 2.5; Jan 16)
What is a family of functions?
Jan 20)
(section 2.6;
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
4
2
-5
5
-2
Intersecting Lines
*Different Slopes
#2: Dependent Systems
Many Solutions/No Unique Solution
4
2
-5
Coinciding Lines/Same Line
*Same slope, Same y-intercept
#3: Inconsistent Systems
No Solution (Will Never Intersect)
4
2
-5
-2
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