Systems of Equations Graphing

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

How many solutions does a system of equations with no solution have?

Back

No solution.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What do systems of linear equations with no solution always have?

Back

Same slopes and different y-intercepts.

Front

How many solutions does a system of equations with exactly one intersection point have?

Back

One solution.

Front

What is a system of equations?

Back

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

Front

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

Back

They have the same slope but different y-intercepts, indicating no solutions.

Front

What is the graphical representation of infinitely many solutions?

Back

The same line graphed multiple times.

Front

What is the slope of a line?

Back

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

Front

What does it mean for two lines to intersect?

Back

They cross at a point, indicating a unique solution to the system.