SOLUTION: Write an equation for a direct variation with a graph that passes through each point. Ex. (6,2)

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Question 348751: Write an equation for a direct variation with a graph that passes through each point. Ex. (6,2)
Found 2 solutions by Fombitz, jsmallt9:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For direct variation,
y=kx
2=k%286%29
k=2%2F6=1%2F3
highlight%28y=x%2F3%29

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
A "direct variation" between x and y means the equation is of the form:
y = kx
where "k" is some number.

In order for the point (6, 2) to be on this line, its coordinates must fit this equation. So:
2 = k*6
Dividing both sides of this by 6 we get:
k+=+2%2F6+=+1%2F3
So we know that the "k" for this equation must be 1/3. That makes the equation:
y+=+%281%2F3%29x