Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

Question

anonymous · Answer

Is there some sort of table, graph, etc. that you are not giving us?

anonymous · Answer

The specific problem is 2x-3y=6.

anonymous · Answer

In order for y to vary directly with x, y and x must always have the same ratio (y / x = k):
When x = 3:
2(3) - 3y = 6
6 - 3y = 6
6 = 3y + 6
0 = 3y
y = 0
k = 0 / 3 = 0

When x = 6:
2(6) - 3y = 6
12 - 3y = 6
12 = 6 + 3y
6 = 3y
y = 2
k = 2 / 3

As we can see, y and x do not always have the same ratio, so y does not vary directly with x.

anonymous · Answer

Hope that helps!

anonymous · Answer

Thank you!! I was trying to figure it out for a while

anonymous · Answer

A medal would be nice :).