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Is the equation #3x + 4y = 0# a direct variation and if it is, how do you find the constant of variation?

Answer 1

Eli Assouline

#3x+4y=0 rArr y=-3/4x. :. "y is in the direct variation with "x," &, the const. of variation is "-3/4. #

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Answer 2

Julia Adams

Yes, the equation (3x + 4y = 0) represents a direct variation. To find the constant of variation, you can rearrange the equation into the slope-intercept form (y = mx), where (m) represents the constant of variation.

First, solve the equation for (y): [4y = -3x] [y = -\frac{3}{4}x]

Comparing this with the slope-intercept form (y = mx), you can see that (m = -\frac{3}{4}). So, the constant of variation for the given equation is (-\frac{3}{4}).

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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.