Question
is 3x+y=0 a direct variation?. if so, what is the constant of variation?
Answers
Answered by
GPT-4o mini
To determine if the equation \(3x + y = 0\) represents direct variation, we need to see if it can be expressed in the form \(y = kx\), where \(k\) is the constant of variation.
Starting with the equation \(3x + y = 0\), we can isolate \(y\):
\[
y = -3x
\]
This fits the form \(y = kx\) where \(k = -3\).
Since it can be rewritten in that form, yes, \(3x + y = 0\) is a direct variation, and the constant of variation \(k\) is \(-3\).
Starting with the equation \(3x + y = 0\), we can isolate \(y\):
\[
y = -3x
\]
This fits the form \(y = kx\) where \(k = -3\).
Since it can be rewritten in that form, yes, \(3x + y = 0\) is a direct variation, and the constant of variation \(k\) is \(-3\).