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**Corpsecreate** 1. The point can be anywhere at all.

2. Yes, this is only in 2-dimensions with variables x and y. Defining "closest" is the main problem I have with this. What would the point have to satisfy for it to be considered the "closest" to a triple intersection?

I have found a few set of points that satisfy different things:

1. $\displaystyle (1, 17/12)$ is the point such that it has the minimum squared distances from the point to the y coordinate of the lines (ie, its the point on the line of best fit that has the smallest error).

2. $\displaystyle (1, 1) $ is the point such that the summed distance (perpendicular distance) from each line to the point is minimised.

3. $\displaystyle (53/38, 43/38)$ is the point such that the summed squared distance (perpendicular distance) from each line to the point is minimised.

4. $\displaystyle (1, 11/6)$ is the centre of the triangle formed by the 3 lines.