Solving Systems of Equations 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 point to be a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations in the system.

Front

How can you find the solution to a system of equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the point where they intersect.

Front

What does it mean if two lines are parallel when graphing systems of equations?

Back

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

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions because every point on the line is a solution.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

The lines are parallel and do not intersect.