Systems of Linear Equations

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 a system of linear equations has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

How can you determine if two lines are the same?

Back

If they have the same slope and the same y-intercept.

Front

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

Back

It is represented by lines on a coordinate plane.

Front

What is the solution to a system of linear equations?

Back

The point(s) where the lines intersect.

Front

If two lines intersect at a point, how many solutions does the system have?

Back

One solution.

Front

What is the slope of a line in the equation y = mx + b?

Back

m represents the slope of the line.