Step 1 :1. Write the given line equation in slope-intercept form: \( y=\frac{3}{2}x-2 \)
Step 2 :2. Use slope \( \frac{3}{2} \) and point \( (6,6) \) in point-slope form: \( y-6=\frac{3}{2}(x-6) \)
Step 3 :3. Convert point-slope form to slope-intercept form: \( y=\frac{3}{2}x-3 \)