Explain in one sentence why setting the area of the triangle with fixed vertices

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Explain in one sentence why setting the area of the triangle with fixed vertices A(a,b)A(a,b), B(c,d)B(c,d) and a variable vertex P(x,y)P(x,y) equal to zero yields the equation of the straight line through AA and BB.

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