Answer
Yes
Constant of Variation: 5/8
Work Step by Step
Since we know that the general form of a direct variation is y=dx we can see that the equation given to us also fits that formula. Our equation is:
5x+3=8y+3
First lets solve for x by subtracting both sides by 3 and then dividing both sides by 8. This yields:
y=5/8x
Clearly we can see that this form correlated with the general form of a direct variation (y=kx) where k is the constant of variation. In this case, it is evident that the constant is 5/8 as it matches the general form.
