Solve Systems 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 a system of equations to have a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

What does the graph of a system of equations with one solution look like?

Back

Two lines that intersect at a single point.

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CCSS.8.EE.C.8A

Front

What does the graph of a system of equations with no solution look like?

Back

Two parallel lines that never intersect.

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CCSS.8.EE.C.8A

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

Two lines that lie on top of each other (coincident lines).

Tags

CCSS.8.EE.C.8A

Front

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

Back

Graph both equations on the same coordinate plane and identify the point of intersection.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.

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CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-coordinate where the line crosses the y-axis.

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6