Which equation represents a direct linear variation? y=1/x y=x+2 y=x^2 y=(1/2)x Thanks for helping. Im pretty sure its either the 2nd or the fourth but im not Sure

Mathematics · College · Tue Nov 03 2020

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For finding Which equation represents a direct linear variation first we wanna know about the direct linear variation equations are those who not have any y-intercepts 

In the first function y=1/x, passes through the point at x=0, y becomes infinite (0, infinite) so y is uncertain but exists .this equation is not a direct linear variation equation.

y=x+2the, the function passes through the point at x=0, y becomes 2 (0,2)so y is finite and exists .this equation is not a direct linear variation equation.

y=x^2 this is a parabola, so this is out of the question.

y=(1/2)x for the linear function is necessary that function passes through the origin (0,0), and at point x=0, y=0  so this is the direct linear variation equation.

Answer function y=(½)x. 

 

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