FLASHCARD: SYSTEMS OF EQUATIONS- GRAPHING METHOD

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What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean if a system of equations has no solution?

Back

It means that 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 if a system of equations has one solution?

Back

It means that the lines represented by the equations intersect at exactly one point.

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CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

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How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and connect them with a straight line.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

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The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

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How can you determine if two lines are perpendicular?

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Two lines are perpendicular if the product of their slopes is -1.

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CCSS.8.EE.B.6

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6