Answer:
The constant k is equal to \(-(2/3)\)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)
In this problem we have
\(4x=-6y\)
Isolate the variable y
\(y=-(4/6)x\)
Simplify
\(y=-(2/3)x\)
In a direct variation the constant k is equal to the slope of the line
\(m=k=-(2/3)\)
