Jessica Grenz – Systems of Linear Equations (Characteristics of Systems of Linear Equations) – Ninth Grade - Algebra 1
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6.1 Notes – Systems of Linear Equations - Table
Type of System
Consistent
Independent
Consistent
Dependent
Inconsistent
Number of Solns
Graph
Lines
Slopes (m)
y-intercepts (b)
Example
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6.1 Notes – Systems of Linear Equations - Table
Type of System
Consistent
Independent
Number of Solns
1 Solution
Graph
Lines
Intersecting
Lines
Slopes (m)
Different
Slopes
y-intercepts (b)
Same y-int
OR
Different y-int
Example
Y = 2x + 4
Y = -3x – 1
OR
Y = 2x + 4
Y = 5x + 4
Consistent
Dependent
Infinitely Many
Solutions
Same Line
Same
Slopes
Same y-int
Y = 4x + 1
-4x + y = 1
Inconsistent
No Solution
Parallel Lines
Same
Slopes
Different y-int
Y = -6x – 3
Y = -6x + 2
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6.1 Notes – Systems of Linear Equations – Concept Mapping