### 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?