Systems - Graphing

Front

What is a system of linear equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means the system has no solutions because the lines never intersect.

Front

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

Back

It means the system has infinitely many solutions because every point on the line is a solution.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

It means the system has exactly one solution, which is the point of intersection.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

What is the slope-intercept form of a linear equation?

Back

Front

What is the graphical representation of a system of equations?

Back

It is represented by the graphs of the equations on a coordinate plane.

Front

Back

No solutions, because the lines are parallel.

Front

Back

(2, 0), which is the point where the two lines intersect.

Front

What does it mean if a system of equations has two solutions?

Back

This is not possible for linear equations; they can have either one solution, no solutions, or infinitely many solutions.