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

12-61.

If *l* and *m* are parallel lines and *T* is a linear transformation, why are *lT* and *mT* also parallel lines? Homework Help ✎

Slope is the ratio of the change in y to the change in x.

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?