Suppose y varies directly with x and y=−3. What is the constant of variation? What is x when y=4? Show all work.

y  =  k·x

1  =  k·-3

Divide by -3:

k  =  -1/3     <---  the constant of variation

The revised formula:

y  =  (-1/3)·x

When  y = 4:

4  =  (-1/3)·x

Multiply by -3:

-12  =  x

A direct variation has this form:  y  =  kx,    where x is the constant of variation.

To solve this, you need a set of values --  what  x =  when  y =-3.

Can you post that value?

Sorry wrote question wrong. It's: Suppose y varies directly with x and y=1 when x=-3. What is the constant of variation? What is x when y=4? Show all work.