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how do you determine the solutionset of a system of linear equations from its graph

Sagot :

Check the following in the graph:

A.  Intersecting Lines
Solution:  Point of intersection
Slopes:  Different
Y-intercepts:  Different
System:  Consistent and Independent

B:  Overlapping Lines / Coinciding
Solution:  Many or Infinite (all the points in the line are solution to the system)
Slopes:  Same
Y-intercepts:  same
System:  Consistent but dependent

C.  Parallel Lines
Solution:  None  (since the lines do not intersect at any point)
Slopes:  same
Y-intercepts:  different
System:  Inconsistent

Please click image below for examples of each graph.
View image Аноним
View image Аноним
View image Аноним