if so what is the constant of variation
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Divide the equation through by 2: y=5x/2+1/2. This shows that y varies linearly as x varies, and the constant of variation is 5/2. However, the presence of 1/2 means that y does not vary in direct proportion to x. For example, when x doubles, y does not double in direct proportion, so if x=2 y=11/2 and when x doubles to 4, y=21/2, which is less than 11/2*2=11>21/2. It is true that (y-1/2)=5x/2 is a direct proportion between y-1/2 and x, but otherwise, no, the equation is not a direct variation or proportion.

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