System of Equations Graphs

Front

A system of equations with infinitely many solutions will have lines that...

Back

are the same.

Front

What is the solution to the system of equations graphed below? (3, 1)

Back

One Solution: (3, 1)

Front

What is the solution to the system of equations graphed below? (-2, 1)

Back

One Solution: (-2, 1)

Front

What is the solution? (1, -1)

Back

(1, -1)

Front

Parallel Lines never intersect because...

Back

they have the same slopes.

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have the same slope and different y-intercepts.

Front

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

Back

Two lines that are parallel.

Front

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

Back

Two lines that intersect at one point.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two lines that overlap completely.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point of intersection of the lines.