Systems of Equations 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

What is the solution of the system of equations y = 2x + 3 and y = -x + 1?

Back

(1, -1)

Front

What is the solution of the system of equations y = 4x + 6 and y = -4x - 2?

Back

(-1, 2)

Front

How many solutions does a system of equations with parallel lines have?

Back

No solution.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

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

Back

The lines overlap each other.

Front

If a system of equations has different slopes, what can be said about their graphs?

Back

They will intersect at one point.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

3

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

4