Hey, I got stuck in this question, can someone help me. (Question in the description, thanks for answering my question)

Question

Point L is at (-2, -4) and point N is at (-2, 10). Find the point M between them such that LM : LN = 3/7.

M(____,_____)

Answer 1

If A(a,b) and B(c,d) are the co-ordinates of the endpoints of a line segment and the co-ordinates of a point 100p% from A toward B is required, the co-ordinates are:

[(1-p)a+pc,(1-p)b+pd].

This is a consequence of the so-called Side-splitter Theorem of plane geomatery.

In your problem p=.3.