System of Equations by Graphing

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are identical.

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting.

Front

What does it mean if a system of linear equations has no solution?

Back

The two lines are parallel.

Front

How do you find the solution to a system of equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the point of intersection.

Front

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

Back

(1, 3)

Front

What is the slope of the line represented by the equation y = 3x - 4?

Back

3

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

5

Front

If the equations of two lines are y = 2x + 3 and y = 2x - 1, what can be said about these lines?

Back

They are parallel.

Front

What is the graphical representation of the equation x = 4?

Back

A vertical line at x = 4.

Front

What is the graphical representation of the equation y = -3?

Back

A horizontal line at y = -3.