### Home > PC > Chapter 12 > Lesson 12.2.1 > Problem 12-42

12-42.

Recall from Chapter 10 that the line through the points and

*can be described by the vector equation*

Let

and. Since, verify that in this case . Use substitution.

Rewrite this expression as

. Use the distributive property, then combine like terms.

Show that this line goes through the point

. If

is on the line, then is possible.

Does*t*have the same value in both equations?

If it is on the line, then it should.