Determine whether the following equation represents a direct variation If it does, find the constant of variation 2x + 3y = 0

Given:

The equation is

To find:

Whether the equation represents a direct variation. If it does, find the constant of variation.

Solution:

The general equation of direct variation is

              ...(i)

Where, k is the constant of variation.

The equation of direct variation is always true for (0,0).

The given equation is

It can be written as

          ...(ii)

For x=0,

The given equation is true for (0,0). So, it represents a direct variation.

On comparing (i) and (ii), we get

Therefore, the constant of variation is .

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step-by-step explanation: