Answer
No. The equation $ y= \frac{10}{9} - \frac{8}{9}x$ is Not In The Form $y=kx$
Work Step by Step
$8x+9y = 10$
Step 1: Isolate The Term $9y$
$9y = 10-8x$
Step 2: Divide Both Sides By $9$
$\frac{9y}{9} = \frac{10}{9} - \frac{8x}{9}$
Simplify
$y = \frac{10}{9} - \frac{8x}{9}$
It is not a direct variation because it is not in the form y=kx and has a constant added.