How do I Write the equation to find the slope of a line?

Write the point-slope form of the equation of a line?
Write the slope-intercept form of the equation of a line?

1. (x1,y1).(x2,y2).

m = (y2-y1)/(x2-x1).

Given: (-2,0),(2,4).
m = (4-0)/(2-(-2)) = 4/4 = 1.

2. Given: 3x - 2y = 6.
Find Y when X = 0: (0.-3).
m = -A/B = -3/-2 = 3/2.
P(0,-3), m = 3/2.

P1(0,-3),P2(x,y), m = 3/2.
m = (y-(-3))/(x-0) = 3/2,
m = (y+3)/(x-0) = 3/2,
cross multiply:
Eq: 2(y+3) = 3(x-0).

3. 3x - 2y = 6.
Solve for Y:
-2y = -3x + 6,
Divide boh sides by -2:
Eq: Y = (3/2)x - 3