turn 9 - x = 3/2y into slope-intercept form

To put the equation 9 - x = 3/2y into slope-intercept form (y = mx + b), we need to solve for y:

9 - x = (3/2)y
- x = (3/2)y - 9
- x = (3/2)y - 18/2
- x = (3/2)y - 9
- x = (3/2)y - 9
- x = (3/2)y - 9
- x = (3/2)y + (–9)

Now we can divide by 3/2 to isolate y:

- (2/3)x = y - 6
- (2/3)x + 6 = y

Therefore, the equation in slope-intercept form is y = (2/3)x + 6.