2x - 3y = 6
Solving for y:
2x - 6 = 3y
y = (2x - 6)/3 = (2/3)x - 2
Therefore for 2x - 3y = 6, the slope and intersect form is y = (2/3)x - 2
2x + 3y = 6
Solving for y:
3y = -2x + 6
y = -(2/3)x + 2
Therefore for 2x + 3y = 6, the slope and intersect form is y = -(2/3)x + 2
x - 2y = 6
Solving for y:
x - 6 = 2y
y = (1/2)x - 3
Therefore for x - 2y = 6, the slope and intersect form is y = (1/2)x - 3
