Systems of Equations [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 on a graph?

Back

It means that the solution to the system of equations is the point where the two lines meet.

Front

What is the solution to a system of equations?

Back

The point (x, y) that satisfies all equations in the system.

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them with a straight line.

Front

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

Back

The lines are parallel and do not intersect.

Front

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

Back

The lines are the same, meaning every point on the line is a solution.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the two lines intersect on the graph.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.