Question: 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

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?

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