is - x + y = 3 a direct variation?

Question

is  - x + y = 3 a direct variation?

anonymous · Answer

Can it be rewritten in the form y = kx? If not, then it is not direct variation.

Hint: can you solve your equation for y? Once you do, is there a constant you add to it?

maeganr · Answer

ok

maeganr · Answer

It can be rewritten as that, therefore it is not right?

anonymous · Answer

what does your rewritten equation look like?

maeganr · Answer

y = 3X

anonymous · Answer

Be careful, remember you can only combine like terms. If you solve this equation for y you'll get:

-x + y = 3
+x          +x                  add x to both sides to  get y by itself
y = 3 + x                      3 and x are not "like terms" -- they have different variables/powers
y = x + 3                      rewrite to put x value first

You were really close the first time and I like that you knew it was direct variation because of that. However, this is not because we're adding a constant (3) to x. In order for this to be direct variation we would just need a number in front of x without adding anything on.

maeganr · Answer

Oh ok, I thank you.