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How do you write an equation of the direct variation that includes the given point (5, 1)?

Answer 1

Kennedy Adams

#y=x/5#

Direct variation is of form #y=kx# where #k# is some constant.

So it is an equation of a strait line.

We may determine the value of #k# as we are given values for #y and x#

So by substitution we have:

#(x,y)->y=kx->y=kxx x# #(x,y)->color(white)(.)(5,1)color(white)(.)->1=kxx5 #

Divide both sides by #color(red)(5)# and we have:

#color(green)(1/(color(red)(5))=kxx 5/(color(red)(5)))#

But #5/5=1 and kxx1=k#

#1/5=k#

So #y=kx" "->" "y=1/5x" "->" "y=x/5#

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Answer 2

Eva Adamson

The equation of the direct variation that includes the given point (5, 1) is 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.