I am having trouble with the Divide Line Segments part of the Analytic Geometry unit. I can find the length of the line segment but I don't understand how to find the answer and the explanations are confusing me even more. I thought I was following the example from the videos but I can't seem to get any questions right. For example,
Point A is at (1, 5) and point C is at (-5, -7). Find the coordinates of point B on AC such that AC is 6 times as long as AB.
I find the difference in both x and y coordinates and then find 1/6 of it to find the answer. I got (-4, -5) but said the answer is (0, 3). What am I doing wrong?