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Transcript
Early Work – Apr. 20
• See Ms. Smith to verify what $150 prize
you are working towards.
• How are you working towards it?
Polyhedron
• Grade Sheet back
• Expectations
15 minute AM
Early Work – Apr. 24
• You do not have to write this. Just show
work.
– Create a number with at least 3 digits.
– Reverse the order of the numbers (you should
then have two numbers).
– Subtract the smaller number from the larger
number to get the difference.
– Add the digits in the difference together.
– Continue adding the digits in the answer together
until you have a single digit answer.
– What is the answer? (Check with your neighbor)
Ch. 8
Linear Functions
Lesson 8.1
Representing Linear Functions
by Graphs
Labeling
Labeling Ordered Pair
Definitions
• Linear Function – a function whose
graph is a straight line
– Function – a set of points that each have a
different x-value
• Domain – the set of x-values that work
in the function
• Range – the set of y-values that work in
the function
Definitions
• Independent Variable – the variable that
you control (the x)
• Dependent Variable – “depends” on the
independent variable (the y)
Lesson 8.2
Exploring Slope
Slope
• The ratio of the vertical rise to the
horizontal run.
• Measures the steepness of a line
• Denoted by a lower case m.
• Thought of as:
Directions and Signs
• +
– Forward and to right
• – Downward and to the left
– Negative only goes with one direction
• Two negatives will make a positive
Pictures of Slope (4)
Finding Slope with two points
Slope as a Difference Ratio
y2  y1
m
x2  x1
Example: (1, 2) and (3, 5)
Example
• Find the slope between the points (2, 4)
and (-1, -3).
Lesson 8.4
The Slope-Intercept Form
Slope Intercept Form
• y = mx + b
How to use Slope-Intercept Form
• Graph the y-int first.
• Then from the y-int, count to the next
point using the slope to count the rise
and the run.
• Plot at least three points before drawing
a line
Graph the following equations
Write an equation from two points
• Write an equation from the points (3, 3)
and (5, 7).
Write an equation from two points
• Write an equation from the points (2, 1)
and (5, 6).
Example
• Write the equation of a line with slope
11 and y-int 15.
Exercises & Problems
• P 432: 2 – 4, 13 – 16
• P 438: 7 – 9, 11 – 16, 23 – 26, 31 – 48
• P 456: 3 – 5, 7, 11 – 39, 41 – 42