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Home > PC > Chapter 12 > Lesson 12.2.3 > Problem 12-61

12-61.

If and are parallel lines and is a linear transformation, why are and also parallel lines? 

Slope is the ratio of the change in y to the change in .
Given any linear transformation, what can you conclude about this ratio?

To convince yourself, try using a transformation with a set of parallel lines. What do you notice?