Is #y = x +2# a direct variation equation and if so what is the constant?

Answer 1

#y=x+2# is not a direct variation.

Note that one possible solution for #y=x+2# is #(x,y)=(1,3)#

If #y=x+2# were a direct variation then (for example) doubling the value of #x: 1rarr2# would double the value of #y:3rarr6# but if #x=2# then #y=x+2=2+2=4 !=6#

Looking at it another way if an equation (in #x# and #y#) is a direct variation then it can be arranged into the form #color(white)("XXX")y=c*x# for some constant #c# This can not be done with the equation #y=x+2#

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Answer 2

Eva Abramson

No, ( y = x + 2 ) is not a direct variation equation. In a direct variation equation, the variables are directly proportional to each other and can be represented in the form ( y = kx ), where ( k ) is the constant of variation.

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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.