Question

PLEASE ANSWER ASAP! SUPER IMPORTANT! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answer 1

To solve this, all we need to do is substitute the values of x and y at which they are the same into each equation and see if it holds true.

A. $\frac{y}{x} = \frac{1}{2}$

$\frac{-8}{4} = \frac{1}{2}$

$-2 = \frac{1}{2}$

Since this is not true, we can scratch choice A off our list.

B. $\frac{y}{x} = -2$

$\frac{-8}{4} = -2$

$-2 = -2$

This is true, so choice B is one of the correct answers.

C. $-2x = y$

$-2 (4) = -8$

$-8 = -8$

This equation also holds true, so choice C is also correct, but let us do the final option just for the sake of completion.

D. $x = 2y$

$4 = 2 (-8)$

$4 = -16$

This is obviously not true, so choice D is also false.

The correct answer choices are B and C.
Hope that helped! =)

Answer 2

Varies directly, so x times a number = y
let z be that number
y= zx
-8=4z
z=-2
y=-2x
which is equals to y/x=-2 and -2x=y , so its B and C