THe table shows a proportinol relationship between x an y. Which equation describes this relationship.
Y= -1/3x
Y= -3x
Y=x-3
Y= x+4

20 points1 PLEASE HELP

Explanation:

Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.

k is the proportionality constant

To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1

This leads to

y = kx

y/x = k

k = y/x

k = 1/(-3)

k = -1/3

Or we could use the third row to get

k = y/x

k = 2/(-6)

k = (1*2)/(-3*2)

k = -1/3

We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.

Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.

Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3

the answer is c