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How do you write an inverse variation equation given #y= -6# when #x= -2#?

Answer 1

Kennedy Adams

#x = 12/y or y = 12/x#

Any quantities which are inversely proportional to each other are related by a constant.

#x prop 1/y#

Form an equation by introducing a constant #(k)#

#x = k/y#

Find a value for #k# using the given values for #x and y#

#k = x xx y#

#k = -2 xx -6 = 12#

Use this value for #k# in the equation above:

#x = 12/y#

This could be written as #y = 12/x#

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Answer 2

Genesis Allen

The inverse variation equation can be written as y = k/x, where k is a constant. To find the value of k, substitute the given values of x and y into the equation and solve for k. In this case, when x = -2 and y = -6, the equation becomes -6 = k/(-2). Solving for k, we get k = -12. Therefore, the inverse variation equation is y = -12/x.

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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.