What is the direct variation equation that goes through point (2,5)?

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Answer 1 · 2017-05-03T19:53:28

#y=5/2x#

Picking the word 'direct' we have the situation #y color(white)(.)alpha color(white)(.) x#

where #alpha# means proportional to

Let #k# be the constant of variation giving:

#y=kx#

Using #k# permits us to change #alpha# to the equals sign

We have the 'initial condition' of the 'ordered pair' #(x,y)->(2,5)#

#=>" "y=kx" "->" "5=k(2)#

Thus #k=5/2# giving:

#y=5/2x#