Solving Systems by Graphing

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

Where do the lines y = 2x + 1 and y = -x - 1 intersect?

Back

(-2, 3)

Front

What is the solution to the system of equations represented by the lines y = x + 3 and y = -x + 1?

Back

(1, 3)

Front

If two lines intersect at the point (1, -4), what does this point represent?

Back

The solution to the system of equations.

Front

What is the solution to the system of equations represented by the lines y = 3x - 2 and y = -2x + 4?

Back

(2, 3)

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

The lines are coincident (the same line).

Front

What is the graphical representation of a consistent system of equations?

Back

The lines intersect at one point.

Front

What is the solution to the system of equations represented by the lines y = -x + 2 and y = 2x - 4?

Back

(2, 0)

Front

What does the term 'system of equations' refer to?

Back

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