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Find the constant of variation k for the direct variation ​

Find the constant of variation k for the direct variation ​-example-1
User StAlphonzo
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1 Answer

6 votes

Answer:

The constant of variation is k = -2 ⇒ (B)

Explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • The constant of variation k =
    (y)/(x)

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points [except point (0, 0)] to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k =
(y)/(x)

→ Substitute the values of x and y in the relation above

∴ k =
(2)/(-1)

∴ k = -2

The constant of variation is k = -2

User Dustin Shimono
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