Question

Determine whether the equation represents a direct variation. If it does, find the constant of variation.
0.7x-1.4y=0

Answer 1

To determine if the equation represents a direct variation, we need to check if one variable is directly proportional to the other.

In this case, let's isolate y by moving the other terms to the other side of the equation:

-1.4y = -0.7x

Now, let's divide both sides of the equation by -1.4 to solve for y:

y = -0.7x / -1.4

Simplifying this expression, we get:

y = 0.5x

Since we have y = kx, where k = 0.5, the equation represents a direct variation with a constant of variation equal to 0.5.