Question

Does the equation represent a direct variation? If so, find the constant of variation.

5x = -3y

A. no
B. yes; k = -5/3
C. yes; k = 5/3
D. yes; k = 3/5

Answer 1

direction variation is saying y varies directly as x. so they increase together.
make the equation resemble y\[\frac{ y }{ x }=k\]

Answer 2

\[\frac{ y }{ x }=k\]
\[k =\frac{ -3 }{ 5 }\]

so it's A?

Answer 3

divide both sides by "x"
from there multiply both sides by \[\ -\frac{ 1 }{ 3 }\]
cool?

Answer 4

no its not A