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 one solution, which is the point where they meet.

Front

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

Back

The point where the graphs of the equations intersect.

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect, meaning there is no solution.

Front

What is the slope of a line?

Back

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

Front

How can you determine if a system has no solution?

Back

If the lines are parallel, they will never intersect.

Front

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

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you graph a linear equation?

Back

You can plot points that satisfy the equation and connect them to form a line.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

What is the x-intercept of a line?

Back

The point where the line crosses the x-axis.