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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, or point, where they meet.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

By plotting both equations on the same graph and identifying the point of intersection.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

How do you determine if a point is a solution to a system of equations?

Back

The coordinates of the point must satisfy both equations.

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.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a system of equations to have no solution?

Back

The lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is an example of a system of equations with infinitely many solutions?

Back

The equations y = 2x + 3 and 2y = 4x + 6 are the same line.

Tags

CCSS.8.EE.C.8B