I always put these in function form.

6X - 4Y = 96

- 4Y = - 6X + 96

Y = 3/2X - 24

------zero out the variables in turn

3/2X - 24 = 0

3/2X = 24

X = 16

------

Y = 3/2(0) - 24

Y = - 24

------

Y intercept = (0, - 24)

X intercept = (16, 0)

Of course zeroing out can be done as is, but I like to see the function.

6X - 4Y = 96

- 4Y = - 6X + 96

Y = 3/2X - 24

------zero out the variables in turn

3/2X - 24 = 0

3/2X = 24

X = 16

------

Y = 3/2(0) - 24

Y = - 24

------

Y intercept = (0, - 24)

X intercept = (16, 0)

Of course zeroing out can be done as is, but I like to see the function.