Why do similar right triangles with two coordinates with the same equation and in the same line

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Why do similar right triangles with two coordinates with the same equation and in the same line are proportional to the other two coordinates which form a right triangle?
For ex:
Equation: 2x-3
First two coordinates: (1,-1) (4,5)

Other two coordinates: (2,1) (7,11)

Why are the slopes of all pairs of coordinates proportional to eachother?

Related Book For answer-question

Income Tax Fundamentals 2013

ISBN: 9781285586618

31st Edition

Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill

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Posted Date: Jun 26, 2023 06:06 AM

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Why do similar right triangles with two coordinates with the same equation and in the same line

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Income Tax Fundamentals 2013

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