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Proportional or Non-proportional?
8.F.4
Use this Flow Chart to help you with
Proportional & Non-proportional Linear
Relationships
Is it a
Function
?
YES
Is there
a Constant
Rate of
Change?
NO
NO
State it is
NOT A
FUNCTION
State there is a VARIABLE
RATE OF CHANGE
YES
Use this Flow Chart to help you with
Proportional & Non-proportional Linear
Relationships
Is there
a Constant
Rate of
Change?
NO
YES
LINEAR
(It graphs to be
a straight line!)
Proportional
-orNon-proportional?
State there is a VARIABLE
RATE OF CHANGE
NON-PROPORTIONAL
PROPORTIONAL
Proportional
-orNonproportional?
PROPORTIONAL
• Cross Products are EQUIVALENT
• 𝑦 = 𝑘𝑥
• The TABLE contains
the ordered pair (0,0)
NON-PROPORTIONAL
• The GRAPH will be a line that
passes through the ORIGIN
• Cross Products are NOT EQUIVALENT
• 𝑦 = 𝑚𝑥 + 𝑏
• The TABLE does not contain the ordered pair
(0,0). It has 0, 𝑏
• The GRAPH will be a line that does NOT pass
through the ORIGIN