slope-intercept form: y = mx + b
m = slope, b = y-intercept
Plug in (3,3) for (x, y)
3 = (8/9)(3) + b
Solve for b. First, simplify
(8/9)(3) = ~2.67 (rounded)
3 = 2.67 + b
Isolate the b. Subtract 2.67 from both sides
3 (-2.67) = 2.67 (-2.67) + b
b = 3 - 2.67
b = 0.33
Plug in 0.33 for b in the equation.
y = (8/9)x + 0.33 is your slope-intercept form.
hope this helps