Assuming you are given have the planes in the point-normal form:

p1: a * x + b* y + c * z + d = 0
p2: e * x + f * y + g * z + h = 0

1. Replace one of the variables with a free variable, "t", in this case let's pick "z", but can be either "x" or "y" as well.

p1: a * x + b* y + c * t + d = 0
p2: e * x + f * y + g * t + h = 0

2. Isolate the free variable

p1: a * x + b * y = -c * t - d
p2: e * x + f * y = -g * t - h

3. Solve the linear equation for x and y, giving a system of equations of the following, where "j1", "j2", "j3", "j4" are different constants.

x = j1 + j2 * t
y = j3 + j4 * t

4. Then, the final equation of the line will be 

(x, y, z) = (j1 + j2 * t, j3 + j4 * t, t)  = (j1, j3, 0) + (j2, j4, 1) * t

In summary, convert the forms of planes into a point-normal form, then choose a free variable. Isolate the free variable, and solve the linear equation for the two remaining variables. Finally, assemble it all into the final equation of the intersecting line.
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