Answered

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

The line represents a direct variation because = negative StartFraction 4 Over 3 EndFraction equals StartFraction 4 Over 3 EndFraction.
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because –4(3) ≠ 4(3).

Answer :

Ashraf82

The line does not represent a direct variation because it does not go

through the origin ⇒ 3rd answer

Step-by-step explanation:

The formula of any direct variation is y = k x, where k is the constant

of variation

  • If x increases, y increases and if x decreases, y decreases
  • The ratio between x and y always stays the same
  • The graph of the direct variation equation is a straight line passes through the origin

The y-coordinates of the points that lie on a horizontal line are equal

∵ A line passes through points (-4 , 3) and (4 , 3)

∵ The y-coordinates of the two points are equal

∴ The line is a horizontal line

∵ Any horizontal line never passes through the origin

   (except the x-axis)

∵ The line is horizontal

∵ The line represents the direct variation must pass through

   the origin

∴ The line does not represent a direct variation

The line does not represent a direct variation because it does not go

through the origin.

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

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Answer:

Yes! The Correct answer is C.) The line does not represent a direct variation because it does not go through the origin.

Step-by-step explanation:

I did the unit test review and i got it correct.

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