Solving Systems of Linear Equations Graphically

Front

What are lines that every point in common and are right on top of each other when graphed called?

Back

Coincident Lines

Front

What characteristics do coincident lines in a system of linear equations have?

Back

Same Slope and Same Y-Intercept

Front

What characteristics do intersecting lines in a system of linear equations have?

Back

Different Slopes but Y-Intercepts don't matter

Front

What characteristics do parallel lines in a system of linear equations have?

Back

Same Slope but Different Y-Intercepts

Front

Back

Infinitely Many Solutions

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for two lines to be parallel?

Back

They never intersect and have the same slope.

Front

What does it mean for two lines to intersect?

Back

They cross at exactly one point and have different slopes.

Front

What is the graphical representation of a system with no solution?

Back

The lines are parallel.

Front

What is the graphical representation of a system with one solution?

Back

The lines intersect at a single point.