We have been given two points. and
. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.
We will use segment formula to solve our given problem.
When a point P divides segment any segment internally in the ratio , then coordinates of point P are:
and
.
Upon substituting our given information in above formula, we will get:
Therefore, the coordinates of point B would be .