For the equation –4y = 8x, what is the constant of variation?

(1 point)
Responses

–4
–4

–2
–2

1
1

1 answer

The equation given is –4y = 8x. This equation can be rewritten in the form y = kx, where k is the constant of variation. To do this, let's solve for y:

Divide both sides of the equation by –4 to isolate y:

y = (8x) / (–4)

y = –2x

In this form, the constant of variation k is the coefficient of x. Here, k = –2. Therefore, the constant of variation for the equation –4y = 8x is –2.
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