Systems of Equations Graphing

Front

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

Back

The two lines intersect at one point.

Front

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

Back

(-3, -8)

Front

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

Back

(-3, -1)

Front

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

Back

The two lines are parallel and never intersect.

Front

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

Back

(1, 3)

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

What does it mean if two lines in a system of equations are the same line?

Back

The system has infinitely many solutions.

Front

How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

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

Back

2