How to Find Point of Intersection of Two Lines
Finding the point of intersection of two lines has many important application such as in Ray-Tracing Simulation. Two lines always intersect at some point unless they are absolutely parallel, like the rails of a railway track. We start with writing the equations of the two lines in slope-intercept form. y1=b1+m1*x1 y2=b2+m2*x2 Here m1 and m2 are the slopes of the two lines and b1 and b2 are their y-intercepts. At the point of intesection y1=y2, so we have. b1+m1*x1=b2+m2*x2 But at the point of intersection x1=x2 as well, so replacing x1 and x2 with x we have. b1+m1*x=b2+m2*x or b1-b2=-x*(m1-m2) […]
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