# If y varies directly with x, and if -8 = y and -2 = x, how do you find x when y= 32?

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To find ( x ) when ( y = 32 ) in a direct variation, you use the formula:

( y = kx )

First, find the constant of variation, ( k ), by substituting the given values ( x = -2 ) and ( y = -8 ) into the equation:

( -8 = k \times (-2) )

( k = -8 / (-2) = 4 )

Now that you have ( k ), plug it into the equation and solve for ( x ) when ( y = 32 ):

( 32 = 4x )

( x = 32 / 4 = 8 )

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