nahomybautista
nahomybautista nahomybautista
  • 18-01-2020
  • Mathematics
contestada

Question 5
If the following points are from a direct variation, find the missing value.
(-3, y) and (-18, 12)

Question 5 If the following points are from a direct variation find the missing value 3 y and 18 12 class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-01-2020

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation [tex]y=kx[/tex].

Since the point (-18, 12) lies on this line, it must satisfy this equation.

[tex]\implies 12=-18k[/tex]

[tex]k=-\frac{12}{18} =-\frac{2}{3}[/tex]

Hence the equation of this line is [tex]y=-\frac{2}{3}x[/tex]

Now we substitute x=-3 to find y.

[tex]y=-\frac{2}{3}*-3=2[/tex]

Therefore the missing value is 2

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