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

1 Answer
May 3, 2017

y=5/2x

Explanation:

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