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xLaser
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please delete.
please delete this thread.
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The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
If the slopes of two lines are equal, then they are parallel.
The equation of a plane in point-normal form is A(x-x_{0}) + B(y-y_{0}) + C(z-z_{0}) = 0, where A, B, and C are the coefficients of the normal vector and (x_{0}, y_{0}, z_{0}) is a point on the plane.
The distance between a point P and a plane ax + by + cz + d = 0 is given by the formula d = |ax_{p} + by_{p} + cz_{p} + d| / √(a^{2} + b^{2} + c^{2}), where (x_{p}, y_{p}, z_{p}) is the coordinates of the point P.
To find the intersection of two planes, set the equations of the planes equal to each other and solve for the values of x, y, and z. The resulting point is the intersection of the two planes. If the two planes are parallel, there will be no solution.