Solve Systems by Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

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CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have one solution?

Back

It means the lines intersect at exactly one point.

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CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the lines coincide, representing the same line.

Tags

CCSS.8.EE.C.8A

Front

How can you determine the solution of a system by graphing?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of parallel lines?

Back

Lines that run in the same direction and never meet.

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the graphical representation of intersecting lines?

Back

Lines that cross each other at one point.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system: y = 2x + 1 and y = -x + 4?

Back

(1, 3) - The lines intersect at this point.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If a system of equations has two equations that are identical, what is the solution?

Back

Infinitely many solutions - the equations represent the same line.

Tags

CCSS.8.EE.C.8A

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line.

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CCSS.8.EE.B.5