Question

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

A: -4
B: -2
C: 1
D: 2

My answer is B, -2. Is this correct?

Answer 1

The equation of a direct variation is in the form, \(\color{#000000 }{\sf \displaystyle y=k\cdot x }\)

\(\color{#000000 }{-4y = 8x }\)
\(\color{#000000 }{-4y \color{red}{\div (-4)}= 8x\color{red}{\div (-4)} }\)
\(\color{#000000 }{y = -2x }\)

Answer 2

yes, your varitaion constant is -2.
Good job!

Answer 3

Thank you so much!

Answer 4

You are welcome!