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Is #-3x+2y=0# a direct variation equation and if so, what is the constant of variation?

Answer 1

Savannah Anderson

#k=3/2#

#"a direct variation equation has the form"#

#y=kx" where k is the constant of variation"#

#-3x+2y=0" can be expressed in this form"#

#rArr2y=3xrArry=3/2x#

#y=3/2x" is a direct variation equation with "k=3/2#

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Answer 2

Hazel Anglin

Yes, the equation -3x + 2y = 0 represents a direct variation. The constant of variation, denoted as k, can be found by rearranging the equation into the form y = kx. To do this, first, isolate y by adding 3x to both sides of the equation, which gives 2y = 3x. Then, divide both sides by 2 to solve for y, resulting in y = (3/2)x. Therefore, the constant of variation (k) is 3/2.

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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.