Solve 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 if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are identical, meaning they overlap completely.

Front

How do you graph a linear equation?

Back

You can use the slope-intercept form (y = mx + b) to find points to plot.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be identical?

Back

Two lines are identical if they have the same slope and the same y-intercept.

Front

How can you tell if a system of equations has no solution by looking at the graph?

Back

If the lines are parallel, the system has no solution.