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find k and write an equation where y varies directly as x. 1. y=1 and x=2​

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ANSWER

[tex] \\ \\ [/tex]

If y varies directly as x and y= 1 when x= 2. Find the value of k.

[tex] \\ y = kx \\ \\ [/tex]

Evaluate the values

[tex] \\ 1 = k(2) \\ \\ [/tex]

Divide 2 to both sides

[tex] \\ \frac{1}{2} = \frac{k(2)}{2} \\ \\ [/tex]

Cancel both 2 from the right side

[tex] \\ \frac{1}{2} = \frac{k( \cancel{2})}{ \cancel2} \\ \\ [/tex]

The value of k

[tex] \\ \large{\green{\boxed {\green {\sf{k = \frac{1}{2} }}}}} \\ \\ \\ \\ \\ [/tex]

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