document.write( "Question 348751: Write an equation for a direct variation with a graph that passes through each point. Ex. (6,2) \n" ); document.write( "

Algebra.Com's Answer #249313 by jsmallt9(3758) $\"\"$ $\"About$

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A \"direct variation\" between x and y means the equation is of the form:
\n" ); document.write( "y = kx
\n" ); document.write( "where \"k\" is some number.

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

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