Point C is located at (1, 2), and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance from point C to point D.

Question

anonymous · Answer

I suggest you draw these type of problems, either on graph paper or use a free software program like geogebra.

As you can see I've drawn the problem out for you. You can see that I have made two right triangles from the information given. 

Since the two triangles are similar, the sides of the triangles are proportional. 

You are given that the distance from point D to point B is 1/4 the distance from point D to point C. 
Since the sides of the triangles are proportional, then the distance from point F to point B must be 1/4 the distance from point E to point D.

You should be able to figure the y value for point B now.