Solving Systems by Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean for a system to have one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean for a system to have no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean for a system to have infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them.

Front

What is the intersection of two lines?

Back

The point where the two lines meet, representing the solution to the system.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'm'.

Front

What is the y-intercept?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

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 graphical representation of a system with one solution?

Back

Two lines that intersect at a single point.