Question

The graph of a direct variation function passes through the origin.

always
sometimes
never

Answer 1

direct variation equations are of the form y = k*x

k is some fixed number

Answer 2

examples

y = 2x, in this case, k = 2

y = (1/3)x, k is now k = 1/3

Answer 3

So it would be sometimes then?

Answer 4

one sec

Answer 5

go here

https://www.desmos.com/calculator

and type in y = k*x into the box next to 1 to graph y = kx

Answer 6

it will ask to make k a slider, do so

then move k around to change the value of k

Answer 7

you can even have it automatically animate for you

Answer 8

Well, I don't really need to know how to find that, because i know how to do that, it is just the definition I am unsure of.

Answer 9

you'll see it when you graph

Answer 10

Ok. thank you.

Answer 11

if you aren't sure on how to graph, you can go to my graph here

https://www.desmos.com/calculator/djomyiw5n4

and everything is set up. Move the slider around for k or animate it to see what happens

Answer 12

based on those graphs, what is the final answer?