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 if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines are the same, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

How can you determine the number of solutions in a system of equations by graphing?

Back

By observing the intersection points of the lines on the graph.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

They intersect at a right angle, and their slopes are negative reciprocals.

Tags

CCSS.8.EE.B.6