Determine whether 3y - 7 = 2x -7 represents direct variation or not. If it does, find the constant of variation.

Yes, it represents direct variation.

The constant of variation is 2/3.

Step-by-step explanation:

Rearrange the equation to put it into y = kx form, which is the direct variation equation

3y - 7 = 2x - 7

Add 7 to both sides:

3y - 7 = 2x - 7

3y = 2x

Divide each side by 3:

y = 2/3x

So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.

In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.

So, the constant of variation is 2/3.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !