Given that y varies directly with x, and x = 8, y = -3, how do you write a direct variation equation that relates x and y?

Answer 1

The direct variation equation is # 8y = -3x#

#y prop x :. y= k*x ; x=8 ; y= -3 :. -3 =k*8 or k= -3/8#So the direct variation equation is #y = -3/8*x or 8y = -3x#[Ans]

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Answer 2

Genesis Allen

The direct variation equation relating x and y is ( y = kx ), where ( k ) is the constant of variation. To find the value of ( k ), substitute the given values of ( x ) and ( y ) into the equation. So, ( -3 = k \times 8 ). Solving for ( k ), we get ( k = \frac{-3}{8} ). Therefore, the direct variation equation is ( y = \frac{-3}{8}x ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.