Question

Determine whether y varies directly with x in the equation . If so, what is the constant of variation?

Answer 1

What is the equation?

Answer 2

oh sorry lol

Answer 3

6x-3=2y-3

Answer 4

the first thing you can do is add 3 to both sides of the equation:
\[6x = 2y\]

Answer 5

now that we have it in this form, can you tell me what the formula for a direct variation is?

Answer 6

is it y over x

Answer 7

you could say that.

Answer 8

The way I personally remember is is:
\[y=kx\]
where k is a constant

Answer 9

So, right now we have:
\[2y = 6x\]
how can you make this into a direct variation?

Answer 10

y=3x

Answer 11

Correct

Answer 12

now what is the constant of variation?

Answer 13

3

Answer 14

Exactly

Answer 15

so will this be my answer yes; k = 3

Answer 16

Yes