**Point of Intersection Formula**

The point of intersection formula is used to find the point of intersection of the two lines, that is the meeting point of two lines. These two lines can be represented by the equationÂ a_{1}x+b_{1}y+c_{1}=0 andÂ a_{2}x+b_{2}y+c_{2}=0, respectively. It is possible to find point of intersection of three or more lines. By solving these two equations, we can find the solution for the point of intersection of two lines.

**Point of Intersection of Two Lines Formula**

Consider two straight lines

a_{1}x+b_{1}y+c_{1}=0 and a_{2}x+b_{2}y+c_{2}=0

which are intersecting at point (x, y). So, we have to find a line intersection formula to find these points of the intersection (x, y).Â

The formula for the point of intersection of the two lines will be as follows:

Â Â x= (b_{1}c_{2}-b_{2}c_{1})/(a_{1}b_{2}-a_{2}b_{1})

Â Â y=(c_{1}a_{2}-c_{2}a_{1})/(a_{1}b_{2}-a_{2}b_{1})

(x, y) = **(**(b_{1}c_{2}-b_{2}c_{1})/(a_{1}b_{2}-a_{2}b_{1}), (c_{1}a_{2}-c_{2}a_{1})/(a_{1}b_{2}-a_{2}b_{1})**)**

So, this is the point of intersection formula of two lines when intersecting at one point.

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