# Find the image of the point 1,2,3 in the plane x + 2y + 4z - 38 =0 Help?

##### 1 Answer

Jun 11, 2018

See below

#### Explanation:

The image of point

Midpoint of

#bb1(alpha + 1)/2 + bb2(beta + 2)/2 + bb4(gamma + 3)/2 = 38 #

And the line joining

#implies {(beta = 2 alpha),(gamma = 4 alpha -1):}#

Turn everything in

#implies {(alpha = 3),(beta = 6),(gamma = 11):}#

**Check:**