Systems of Equations by Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines are the same line, overlapping each other.

Front

How do you solve a system of equations by graphing?

Back

Graph each equation 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 + 4?

Back

(1, 3)

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

3

Front

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

Back

5

Front

If two lines are intersecting, how many solutions does the system have?

Back

One solution.

Front

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

Back

A horizontal line at y = 4.