anonymous
  • anonymous
Determine whether y varies directly with x. If so, find the constant of variation k. 3y = –7x – 18
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
@agent0smith
agent0smith
  • agent0smith
For the constant of variation, we need it to look like y = kx. Let's divide both sides of 3y = –7x – 18 by 3, to get \[y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 }\] Try comparing \[y= kx \]to\[y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 }\]

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anonymous
  • anonymous
so is the answer B?
anonymous
  • anonymous
@agent0smith
agent0smith
  • agent0smith
But notice that we have\[ y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 } \] Does it look like y=kx? or y=kx minus 18/3?
anonymous
  • anonymous
no they don't so its D
agent0smith
  • agent0smith
For constant of variation, you only want y = kx, not y = kx plus or minus some number.
anonymous
  • anonymous
so there is no constant of variation its no
agent0smith
  • agent0smith
Correct :) *If* it was just \[y = -\frac{7 }{ 3 }x\] then it would be in the form y = kx.
anonymous
  • anonymous
thanks baby xo
agent0smith
  • agent0smith
haha no prob :)

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