Answer
Yes and the constant of variation is 5/8
Work Step by Step
You have 5x+3=8y+3, simplify to determine whether it fits the form of direct variation:
5x+3=8y+3 -subtract 3 from both sides-
5x=8y -divide both sides by 8-
y=$\frac{5}{8}$x.
This form is the same as a form of a direct variation (y=kx).The constant of variation is 5/8 because it is k(constant of variation.