Rate of Change from Graphs
RATE OF CHANGE
change  in  y
change 
  in x
m=
change in y
change in x
What is the
rate of change?
What is therate of change?
What is the 
rate of change?
RATE OF CHANGE
Zero
Positive
can be
Undefined
Negative
What is the 
rate of change?
-3
3
0
Undefined
2
-2
0
Undefined
What is the 
rate of change?
2/3
-2/3
3/2
-3/2
What is the
rate of change?
m=
RATE OF CHANGE
always simplify your fractions
change in y
change in x
=
8
2
=4
What is the 
rate of change?
What is the 
rate of change?
What is the rate of change?
Use integer-points 
(not decimal points)
RATE OF CHANGE
good
bad
What is a good 
point to use?
use this
use this
use this
use this 
this
this
this
What is a good 
point to use?
this
(0,0)
(0,2)
(2,0)
What's a point?
What is a good 
point to use?
What's the 
rate of change?
3
4
5
6
What's the rate of change?
-5/7
-1
-3/4
-2/3
What's the rate of change?
RATE OF CHANGE
100
100
150
50
Watch your scaling!
0
1
2
 2
3
4
$20
$10
$15
$5
0
 1    2   3    4    5
 What is the  rate of change?
days
$1 per day
$5 per day
$5 per 2 days
$2 per 5 days
2 km per minute
10 km per minute
km ran
What is the rate of change?
3
2
1
0
 5    10    15    20   25   30
minutes ran
1 km per 10 minutes
1 km per 2 minutes
What is the rate of change?
account 
balance
   ($)
400
200
800
600
10     20    30    40
# of days
$ per day
240
180
120
60
What is the rate of change?
3     6     9     12    15   18   21
change in x
    change in y
What is the formula
for rate of change?
change in y
    change in x
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