Answer:
The equation 5x + y = 0 represents a direct variation
The constant of variation is k=-5
Step-by-step explanation:
We need to tell if the equation 5x+y=0 represents a direction variation or not.
The equation for direct variation is: [tex]\mathbf{y=kx}[/tex]
where k is constant of variation.
In the given equation:
[tex]5x+y=0\\y=-5x[/tex]
Comparing it with general equation for direct variation [tex]\mathbf{y=kx}[/tex] we get [tex]y=-5x[/tex] so equation represents direct variation.
Value of k is -5
So, the constant of variation is k=-5
