Find intersection point of two lines when I have their coordinates ? (2024)

Oh, come on. You need to make an effort.

https://en.wikipedia.org/wiki/Line–line_intersection

Suman, I would suggest you break your problem into three steps.

Step 1: Letting the intersection point have the unknown coordinates x0 and y0, write an equation that expresses the equality of the slope of a line connecting (x1,y1) and (x2,y2) to the slope of the line connecting (x1,y1) and (x0,y0). Similarly, write a second equation equating the slopes of lines involving (x3,y3), (x4,y4), and (x0,y0). This gives you two linear equations in two unknowns.

Step 2: Perform appropriate algebraic manipulation on these equations and then translate these into a single matrix equation - that is, for example, the unknown 1-by-2 vector, [x0,y0], multiplied by a 2-by-2 matrix of known coefficients that is to equal a known 1-by-2 vector.

Step 3: Use matlab’s slash “/” operator to solve this matrix equation for the unknown vector, [x0,y0]. (This is equivalent to finding the matrix inverse of the above 2-by-2 matrix.)

John, I did it. But I think the equation is too long. So, I just wanted to know if there is any short form of that or not.

@Suman: Yes, there is a short form. Did you read the link posted by John? This is an exhaustive solution already. Making an effort means also, to ask an internet search engine.

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