So firstly, add both sides by 9x: [tex]10y=9x-9[/tex]
Next, divide both sides by 10 and your slope-intercept form is [tex]y=\frac{9}{10}x-\frac{9}{10}[/tex]
Now looking at our slope-intercept form equation, the slope is 9/10 and the y-intercept is (0, -9/10).