Algebra 1 ... Notes ...

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Algebra 1
Notes
Questions / Main
Ideas:
TOPIC:
Name: ________________________
Period: _______Date: ____________
Graphing from Slope Intercept
One equation for a line has the form
y  mx  b
y  mx  b
This is why it is called
form
2
Given the equation y  x  1
3
How can you
remember which axis
to put the “b” on?
b  ______
This is where you put your first
point on the y-axis
m  ______
These are the “directions” you
follow to get to the next point.
How to follow m :
m
m 
2
3
2
3
m
2
3
m
2
3
Think of
Think of
You try:
Graph the equations:
Function and equation
are sometimes used
interchangeably
4
y x4
5
f ( x)  
3
x2
4
b  ______
b  ______
m  ______
m  ______
yx5
y  2 x 1
b  ______
In order to graph
these the slope needs
to “fixed” by
m  ______
b  ______
m  ______
SPECIAL CASES for SLOPE
CASE # 1:
4
y x4
5
Positive slope, but there is no space above
the y-intercept to draw another slope “step”
up towards the next point. What do we do?
b  ______
m  ______
CASE # 2:
3
y x4
5
Negative slope, but there is no space below
the y-intercept to draw another slope “step”
down towards the next point. What do we
do?
b  ______
m  ______
You try:
Graph:
y  3x  5
Summary:
6
y   x 1
5
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