Proportional Relationships in Graphs

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What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

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CCSS.7.RP.A.2A

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What does the constant of proportionality represent?

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The constant of proportionality represents the ratio between two proportional quantities, often denoted as k in the equation y = kx.

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CCSS.7.RP.A.2B

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How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

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CCSS.7.RP.A.2D

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What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, indicating how much of one quantity corresponds to one unit of another quantity.

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CCSS.7.RP.A.2B

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If the point (1, w) is on a proportional graph, what does it indicate?

Back

It indicates that when the independent variable (x) is 1, the dependent variable (y) is w, representing the unit rate.

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CCSS.7.RP.A.2D

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality, select two points on the line, calculate the ratio of the y-coordinates to the x-coordinates.

Tags

CCSS.7.RP.A.2B

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Back

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CCSS.8.EE.B.5

Front

What is the significance of the origin (0,0) in a proportional graph?

Back

The origin (0,0) signifies that when there is no input (0), there is also no output (0), confirming the relationship is proportional.

Tags

CCSS.7.RP.A.2D

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How can you express a proportional relationship mathematically?

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A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

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What does it mean if a graph does not pass through the origin?

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If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Tags

CCSS.7.RP.A.2D