solving systems of equations by graphing

It is where the two lines cross and represents the solution to both equations.

It is where the lines are parallel and never meet.

It is the midpoint of the two lines.

It is the point farthest from the origin.

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

A single linear equation

A set of equations with different variables

A set of nonlinear equations

One solution, no solution, or infinitely many solutions

Only one solution

Only no solution

Only infinitely many solutions

(1, 3)

(0, 2)

(2, 4)

(2, 0)

(-1,-1), (0,1), (1,3), (2,5)

(0,4), (1,3), (2,2), (3,1)

(-1,1), (0,0), (1,2), (2,4)

(1,1), (2,2), (3,3), (4,4)

Graphing linear equations and solving by substitution

Graphing linear equations and solving by elimination

Graphing linear equations and solving by finding their point of intersection

Graphing linear equations and factoring

If the lines intersect, there is one solution.

If the lines are parallel, there is no solution.

If the lines are the same, there are infinite solutions.

If the lines are perpendicular, there are infinite solutions.

No solution

One solution

Infinite solutions

The lines are perpendicular

Yes

No

Yes

No

intersect.

have the same slope.

have the same domain.