6. Find the constant of variation k for the direct variation. 4x = -y K = -1 K=-1/4 K=4 K=-4

Question

asked Aug 12, 2022 134k views

1 Answer

GOK · Answer 1 · 2022-08-19T02:55:50+0000

Given:

The equation for the direct variation is

4x=-y

To find:

The constant of variation k for the direct variation.

Solution:

If y is directly proportional to x, then

$y\propto x$

y=kx ...(i)

Where, k is constant of variation or constant of proportionality.

We have,

4x=-y

It can be written as

-y=4x

Multiply both sides by -1.

y=-4x ...(ii)

On comparing (i) and (ii),we get

k=-4

Therefore, the correct option is D.