Question

A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the graph of the equation?

(3, 2)
(-9, -6)
(-12, 8)
(-6, -3)

((select all that apply)

Answer 1

@Cookie_2046 do you know how to do this

Answer 2

Not really

Answer 3

Oh okay

Answer 4

@kelliegirl33 do you know how to do this

Answer 5

I tend to do direct variation a little bit differently....I use proportions...and proportions are nothing but equivalent fractions.

(6,4)...x = 6 and y = 4
lets compare it to (3,2)
6/4 = 3/2 (cross multiply)
(6)(2) = (3)(4)
12 = 12 (correct)....this one is an answer choice

(6,4) and (-9,-6)
6/4 = -9/-6 (cross multiply)
(6)(-6) = (4)(-9)
-36 = -36 (correct).....this one is also an answer choice

do you see how I am doing this ??
if the proportions do not come out equal, then it is not an answer choice. This way can only be done with direct variations...not indirect.

Answer 6

thank you!!!!

Answer 7

so would (12,8) also be an answer because when you cross multiply, it comes out as 48 ?

Answer 8

but your answer choice is (-12,8)....and that is not on the line

Answer 9

oh oops haha i didnt see the "-"