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Is y=2x-9 a direct variation and if so, what is the constant?

Answer 1

Nathan Axel

#2-9/x#

Formula for direct variation,

#y=kx#, where #k# is the constant.

#y=kx=2x-9# #kx=2x-9#

Hence, the constant is,

#k=(2x-9)/x# #k=2-9/x#

Check: graph{y=(2-9/x)(x) [-32.47, 32.5, -16.23, 16.24]}

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Answer 2

Genesis Allen

Yes, the equation ( y = 2x - 9 ) represents a direct variation because it is in the form ( y = kx ), where ( k ) is the constant of variation. In this case, the constant of variation is ( k = 2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.