1. Chapter 2 Section 2 Linear Equations Pt 1
Algebra 2 Notes
January 12, 2009

2. Warm-Ups
Find the domain and range of each relation and determine whether it is a function:
{(2, 4), (4, 8), (8, 16)}
{(-1, 2), (-2, 5), (-2, 7), (0, 2), (9, 2)}
Evaluate the following expression for x = -2
Evaluate the following expression for x = 4

3. Linear Functions Linear Function: A function who’s graph is a line.
A linear function can be expressed, or represented, by a Linear Equation.
For Example: The linear equation y = 3x + 2 represents this linear function

4. Graphing Linear Equations
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
Make A Table:

5. Give it a try… Graph the following equations in your notes:
What is the y-intercept of each graph? What is the x-intercept of each graph?

6. Forms of Lines Standard Form:
You can graph a linear equation in standard form by finding the x- and y-intercepts
Example: Graph the following equation

7. Forms of Lines cont. Slope-Intercept Form:
m represent the slope of the line
b represents the y-intercept of the line

8. Forms of Lines cont. Point-Slope Form: represents a point on the line
m represents the slope of the line

9. Slope of a Line
What does “slope” mean to you???

10. Finding the Slope of a Line
Slope: the ratio of the vertical change (change in y) over the horizontal change (change in x)
Given two points on a line:
Use the equation for slope to find the slope of that line:

11. Finding the Slope of a Line
Find the slope of the line that goes through the points:

12. Try One On Your Own:
Find the slope of each line that goes through the points: a) b)

13. Finding Slope with Slope-Intercept Form
What is the slope in this equation?
Convert the following equations into slope-intercept form and then determine the slope of the line:

14. Homework #4
Pg 67 #3, 6, 8, 11-13, , 32, 36