Systems of Linear Equations (6-1)-(6-3)

Front

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

Back

The two lines intersect at one point.

Front

Why do parallel lines never intersect?

Back

Because they have the same slopes.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

No solution.

Front

What type of solution does a system of equations have if the lines are the same?

Back

Infinitely many solutions.

Front

If a system of linear equations has no solutions, what does this mean about the two lines?

Back

The lines are parallel.

Front

What is a system of linear equations?

Back

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

Front

What is the graphical representation of a system of linear equations?

Back

It is represented by lines on a coordinate plane.

Front

What does it mean if two lines intersect at a point on a graph?

Back

The system of equations has one unique solution.

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the slope of lines that are perpendicular?

Back

The slopes are negative reciprocals of each other.