olivia981 olivia981
  • 25-04-2019
  • Mathematics
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Determine whether y varies directly with . If so, find the constant of variation and write the equation.

Determine whether y varies directly with If so find the constant of variation and write the equation class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-04-2019

Answer:

Yes,[tex]k=-\frac{1}{3}[/tex] and [tex]y=-\frac{1}{3}x[/tex]

Step-by-step explanation:

Using (-6,2) and (-9,3)

We have [tex]k=\frac{2-3}{-6--9}=-\frac{1}{3}[/tex]

This implies that;

[tex]y=-\frac{1}{3}x[/tex]

Checking for the third point,

When x=-15,

[tex]y=-\frac{1}{3}(-15)=5[/tex]

Hence y varies directly as x.

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