Home > Algebra > Direct Variation

Is #3y=7x-1# a direct variation equation and if so, what is the constant of variation?

Answer 1

Isaiah Anthony

#"not a direct variation equation"#

#"a direct variation equation has the form"#

#•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"#

#3y=7x-1 " is of the form"#

#y=7/3x-1/3rArr"not direct variation"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

Yes, the equation (3y = 7x - 1) is a direct variation equation. The constant of variation can be found by rearranging the equation into the form (y = kx), where (k) represents the constant of variation.

To find (k):

Divide both sides of the equation by (3) to isolate (y).
The coefficient of (x) will be (k), the constant of variation.

Rearranging the equation: [3y = 7x - 1] [y = \frac{7}{3}x - \frac{1}{3}]

So, the constant of variation is (\frac{7}{3}).

By signing up, you agree to our Terms of Service and Privacy Policy

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.