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 two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Front

What is the solution to a system of equations?

Back

The point (x, y) where the equations intersect.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How can you determine the solution of a system by graphing?

Back

By plotting the lines on a graph and finding their intersection point.

Front

What is the graphical representation of parallel lines?

Back

Lines that run in the same direction but never meet.

Front

What is the graphical representation of intersecting lines?

Back

Lines that cross each other at one point.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.