Point of Intersection Formula

About Point of Intersection Formula

The point of the intersection formula is used to get the meeting point of two lines, also known as the point of intersection. The equations a1x+b1y+c1=0 and a2x+b2y+c2=0 can be used to represent these two lines. The point of intersection of 3 or more lines can be found. We can discover the solution for the point of intersection of 2 lines by solving the two equations.

What Is the Point of Intersection Formula?

Consider the following two straight lines: a1x+b1y+c1=0 and a2x+b2y+c2=0. as illustrated in picture, which intersect at location (x,y). To discover these locations of intersection, we must find a line intersection formula (x,y). Both equations are satisfied at these sites. We can locate the location where two lines intersect by solving these two equations. The formula for finding the point where two lines intersect is:

(x,y) = [b1c2−b2c1 / a1b2−a2b1,a2c1−a1c2 / a1b2−a2b1]

point of intersection

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Point of Intersection Formula

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