-Write 6y =-8x – 18 in slope-intercept form for (-3, 3) and (1, 2)

6y = -8x - 18

y = -4/3 x - 3

No idea why the two points are given. They won't change the equation of the line.

Now, if you want the equation of the line through those two points, then
the slope m = -1/4
so an equation is
y-2 = -1/4 (x-1)
You can massage that as you will ...