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.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Back

The lines intersect at exactly one point.

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CCSS.8.EE.C.8A

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

Back

The lines 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 infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

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CCSS.8.EE.C.8A

Front

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

Back

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

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CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

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CCSS.8.EE.C.8A

Front

What is the significance of the intersection point of two lines in a system of equations?

Back

It represents the solution to the system.

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CCSS.8.EE.C.8B

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If two lines are parallel, what can be said about their slopes?

Back

They have the same slope but different y-intercepts.

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CCSS.8.EE.B.6

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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CCSS.8.EE.B.5