# Line XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image line X'Y' . If the slope and length of XY are # m # and #l# respectively, what is the slope of X'Y' ?

##### 1 Answer

Jun 2, 2018

#### Explanation:

If line xy has end points

Dilated line line has endpoints

After dilation:

If:

After dilation:

Dilated length:

In the above, the work carried out to find the slope of the dilated line was unnecessary. Dilations do not change the orientation, so the gradient would remain the same.