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Does the equation #2y = - 8x # represent a direct variation and if so, identify the constant of variation?

Answer 1

Savannah Anderson

#k =-4#

A direct variation can be written in the form #k = x/y (or y/x)#

Simplify #2y =-8x# to get #y = -4x#

#y=-4x#

#rArr y/x =-4#

Therefore this does represent a direct variation with # k = -4#

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Answer 2

Ethan Adkins

Yes, the equation ( 2y = -8x ) represents a direct variation. The constant of variation is ( k = -4 ).

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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.

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