Question

find the constant variation k for the direct variation. 2x+6y=0

Answer 1

Solve the equation for y, and put it in the form
\(y = kx\),
then \(k\) is the constant of variation.

In other words, once you solve it for y, and you have y alone on the left side, the number that multiplies x on the right side is k, the constant of variation.