8G Checkpoint#12 Solutions to systems of equations

Front

What is a system of equations?

Back

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

Front

How many types of solutions can a system of equations have?

Back

Three types: One solution, No solution, Infinitely many solutions.

Front

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

Back

The graphs of the equations intersect at exactly one point.

Front

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

Back

The graphs of the equations are parallel and never intersect.

Front

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

Back

The graphs of the equations are the same line, overlapping each other.

Front

What is the graphical representation of parallel lines?

Back

Two lines that never intersect and have the same slope.

Front

What is the graphical representation of intersecting lines?

Back

Two lines that cross at one point, indicating one solution.

Front

What is the slope of a line?

Back

The steepness or incline of the line, calculated as the rise over run.

Front

How can you determine if two lines are parallel?

Back

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

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.