1. Bell Work
Problem: You have a 10 foot ladder leaning up against the side of the house. The ladder is sitting 5 feet from the base of the house. At what height does the ladder touch the house?
Jill completed this problem as shown at the left.
Did she set the problem up correctly? Is her answer correct?
Justify your answers by showing work and explaining why Jill is or is not correct. (Hint: draw a diagram)
Find the distance between the points (1, -3) and (9, 3) by using two different methods.

2. 8.1 Representing Relationships
Chapter 8 Lesson #1
Pg. 577

3. What You’ll Learn Linear equations can contain more than one variable
A linear equation is an equation with a graph that is a straight line

4. Vocabulary Linear Equation Rate of Change Slope-Intercept Form
An equation with a graph that is a straight line
Rate of Change
Change in the dependent variable divided by the change in the independent variable
Slope-Intercept Form
m = slope
b = y-intercept
Slope (m)

5. In a Table Remember…..
If the change in the Domain (Independent Variable) is constant and the change in the Range (Dependent Variable) is constant you have a….
Linear Relationship
Straight Line Graph

6. Writing Equations from a table
Flow chart steps
Find the “change in” both variables (Independent and Dependent)
Calculate the Rate of Change (Slope)
Substitute slope for the “m” in
y = mx + b
Use one coordinate value (x, y) from table and substitute for the x and y in
Solve for “b”
Write the equation in the form

7. Use the table at the left to solve the following example
Write and equation to find the number of liters in any number of quarts. Then describe the relationship in words.
Find change in variables
Write equation and substitute in to find “b”
Write equation and describe relationship
Quarts, q
Liters, l 1
0.95 2
1.9 3
2.85 4
3.8 5
4.75

8. Use equation to make a prediction
How many liters are in 8 quarts?

9. Write equation and solve for “b”
Use the graph at the left to write an equation to find the number of miles run (y) after any number of days (x)
Find the slope
Write equation and solve for “b”
Write the equation of the line

10. Use equation to make a prediction
How many miles will be run after 2 weeks?

11. Open Books to pg. 582 1a
m = 50d + 0, he sends an average of 50 text messages per day. 1b
1500 messages

12. Multiple Representations
m = 7w + 0
3b (table)
3c (graph) w 7w m 4
7(4) 28 5
7(5) 35 6
7(6) 42 7
7(7) 49

13. Homework
Honors
Pg. 583, 1 – 7
Regular
Pg. 583, 1 – 5, 7