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 .

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.