Graphing Systems of Equations

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 no solutions because they never intersect.

Front

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

Back

They have infinitely many solutions because they overlap completely.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines intersect.

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 a zero slope indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

If a system of equations has no solution, what can be said about the lines?

Back

The lines are parallel.

Front

What is an ordered pair in the context of a system of equations?

Back

A pair of numbers (x, y) that represents a point on the graph.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into each equation; if it satisfies all, it is a solution.