How do you write the equation of a direct variation that includes the point (-6,1)?

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Answer 1 · 2016-03-09T15:24:24

Equation of direct variation is:#" "y=(-1/6)x#

Let #(x,y) ->(-6,1)#

The term 'direct variation implies that we have the structure of

Let #k# be a constant of variation

Then #y=kx#....................(1)

We are given that #(x,y)->(-6,1)# so by substitution equation (1) becomes

#1=k(-6)#

Divide both sides by -6

#1/(-6)=kxx(-6)/(-6)#

But #(-6)/(-6)=1# giving

#-1/6=k#
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Equation of direct variation is:#" "y = kx" "->" "y=(-1/6)x#