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

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Answer 1 · 2017-06-15T14:46:01

#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#