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

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Solution: Point of intersection

Slopes: Different

Y-intercepts: Different

System: Consistent and Independent

Solution: Many or Infinite (all the points in the line are solution to the system)

Slopes: Same

Y-intercepts: same

System: Consistent but dependent

Solution: None (since the lines do not intersect at any point)

Slopes: same

Y-intercepts: different

System: Inconsistent