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Angle, parallel pair and point of intersection

General equation

Concept 9 of 9 in Pair of Straight Lines

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Think about this

The lines y=xy = x and y=−xy = -x make the pair x2−y2=0x^2 - y^2 = 0. Slide both, without turning them, so that they cross at (1,3)(1, 3). What is the new joint equation, and what is the angle now?