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 if two lines intersect at one point?

Back

The system has one solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solutions.

Front

What does it mean if two lines are the same?

Back

The system has infinitely many solutions.

Front

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

Back

Graph both equations and identify the point of intersection.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the equation y = -x + 4?

Back

The y-intercept is 4.

Front

If the equations are y = 1/2x + 2 and y = -3x + 9, how many solutions does this system have?

Back

One solution.

Front

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

Back

No solution.

Front

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

Back

Infinitely many solutions.