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Do the paired points in the table represent a proportional relationship on the graph?

x 0 1 2 3

y 0 3 6 9


If the relationship is proportional, choose the correct constant of proportionality from the drop-down menu. If the relationship is not proportional, choose "not proportional."


Drop Down Menus = 1,2,3, or not proportional

Do the paired points in the table represent a proportional relationship on the graph? x 0 1 2 3 y 0 3 6 9 If the relationship is proportional, choose the correc class=
Do the paired points in the table represent a proportional relationship on the graph? x 0 1 2 3 y 0 3 6 9 If the relationship is proportional, choose the correc class=

Verified Answer :

MissPhiladelphia

The given
paired of points in the table can be tested if proportional by solving the
slope at each point. The slope represents the constant of proportionality.

M = (y1 – y2) /
(x1 – x2)

At point ( 0, 0
) and (1 , 3)

 

M = ( 0 – 3) /
( 0 – 1 )

M = 3

 

At point ( 1, 3
) and (2 , 6)

 

M = ( 3 – 6) /
( 1 – 2 )

M = 3

 

M = ( 9 – 6) /
( 3 – 2 )

M = 3

 

So the
proportionality constant is 3

 

 

 

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