Question

Find the constant of variation k for the direct Variation, 4x = -y.

A. k= -1
B. k= -1/4
C. k=4
D. k=-4

Answer 1

The constant of variation k for the direct variation given by the equation 4x = -y is -4.

Step-by-step explanation:

The question asks to find the constant of variation k for the direct variation represented by the equation 4x = -y. In direct variation, the equation is written in the form y = kx, where k is the constant of variation. To find k, we rearrange the original equation to this form:

y = -4x

Thus, the constant of variation k is -4, which matches option D.