Linear Sequences and y=mx + b.notebook
January 03, 2013
Check/Grade Homework
L. T.­­Write an equation in y = mx + b form for linear data
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Linear Sequences and y=mx + b.notebook
January 03, 2013
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Linear Sequences and y=mx + b.notebook
January 03, 2013
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Linear Sequences and y=mx + b.notebook
January 03, 2013
Linear Relationships
A linear relationship is a relationship in which the same number is added each time. (Remember: adding a negative value is like subtracting)
Example: Fill in the table
x 0 1 2 3 4 5 6 y 5
x
7
y
0
9
5
1 2
11
7 9
3
11
4
5
6
What are you adding each time? Where does it start on the y­axis?
Draw a graph.
Write an equation y = mx + b
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Linear Sequences and y=mx + b.notebook
January 03, 2013
In general:
The relationship between the variables in a linear sequence is a linear equation: y = mx + b m = slope or rate of change
b = y­intercept (the value of y when x = 0)
y = ____x + ____
_______________
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Linear Sequences and y=mx + b.notebook
January 03, 2013
y
x
­1
0
1
2
3
4
­5
­2
1
4
y = ____x + ____
x
y
2
4
6
8
10
6
2
­2
­6
y = ____x + ____
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Linear Sequences and y=mx + b.notebook
January 03, 2013
You work at Piggly Wiggly and make $8 an hour. Draw a graph that represents how much money you make and answer the questions.
Let x = hours worked
Let y = $ you make
x y
1. What is the y­intercept and the slope? 2. How much money do you make if you work 10 hours ?
3. Write a linear equation in terms of x and y for the situation.
4. How many hours do you have to work in order to make $260?
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Linear Sequences and y=mx + b.notebook
January 03, 2013
A plane is flying at 6000 feet. Each minute, it descends 300 feet. Make a rough graph and answer the questions.
1. Explain what the y­intercept, x­intercept and slope represent.
2. Write a linear equation in terms of x and y for the situation.
3. How long will it take for the plane to be at 1500 feet?
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Linear Sequences and y=mx + b.notebook
January 03, 2013
Homework
WKS
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