The slope of this equation would be 2/9 and the y-intercept would be -8/9.
In order to find this, we have to solve the equation for y.
2x - 9y = 8 -----> subtract 2x from both sides
-9y = -2x = 8 -----> divide by -9
y = 2/9x - 8/9
Now we know that the slope is the number attached to x and the y-intercept is the constant at the end.