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So when connected to y=mx+b and simplified to y=mx+b, where m cannot equal 0 and b=0, or k=y/x where x=0 only if y=0

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Is there a constant in the equation?

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N

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Can be straight but DOES NOT go through the origin.
Can go through the origin but is NOT straight.
Has a y-intercept
Has a fee, plus an extra amount

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Goes through the origin (0,0)

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Initial starting fee
Origin

Straight line

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Through the origin or not

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Goes through the origin AND straigh

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Scale factor on a table

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Doesn’t go through origin

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Origin, no constant being added (+b)

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No constant or additional fee

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No constant

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Have constant y/x and go through the origin.

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No constant

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Has to go through the origin

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Constant rate of change.
Go through origin.
Additive/multiplicative
No extra costs/fee

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Y=kx

Constant rage of change

Added fee (word problem)

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Pass through the origin (0,0) and straight line

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Is there a base fee

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Y over x should divide to be equal for proportional relationship

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Doesn’t go thru origin. May or may not be a constant rate of change.

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No fee

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Proportional/NonProportional

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Goes through origin

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Multiplicative vs additive relationships

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Is it a constant rate of change? And does it go through the origin?

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- goes through the origin