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The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x .
A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0 .
in the question
Part(a)
the equation is y (2)x - 3
on comparing it with y = mx + c , we get c = -3 , which is not 0 .
So , it is not a proportional relationship .
Part(b)
the equation is y (-2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(c)
the equation is y (3/5)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(d)
the equation is y - (1/2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x , that are options (b) , (c) and (d) .
The given question is incomplete , the complete question is
Which of the following linear relationships is NOT also a proportional relationship?
(a) y = (2)x - 3
(b) y = (-2)x
(c) y = (3/5)x
(d) y = - (1/2)x
Learn more about Proportionality here
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