The point-slope formula is [tex](y-y_{1}) = m(x-x_{1} )[/tex]
- ([tex]x_{1} ,y_{1}[/tex]) is (1,2)
- m = -8/9
Now let's plug in the values:
[tex]y -2 = -\frac{8}{9} (x-1)[/tex]
To put it into slope-intercept form, we have to solve for y and put all other variables and constants onto one side
[tex]y - 2 =- \frac{8}{9} (x-1)\\y =- \frac{8}{9} x+\frac{8}{9} +2\\y = - \frac{8}{9} x+\frac{8}{9} + \frac{18}{9}\\ y = -\frac{8}{9} x+\frac{26}{9}[/tex]
Hope that helps!
