Point C open parentheses 4 comma space 2 close parentheses divides the line segment joining points A open parentheses 2 comma space minus 1 close parentheses and B open parentheses x comma space y close parentheses such that A C : C B equal 3 : 1. What are the coordinates of point B?

Question:

Point C (4,2) divides the line segment joining points A(2,-1) and B(x, y) such that AC:  CB = 3:1.

What are the coordinates of point B?

Step-by-step explanation:

Given

Required

Find the coordinates of B

Coordinates of a line segment is calculated using:

In this case:

---

The equation becomes

So, the coordinates of B is:

Solving further

Multiply through by 4

By comparison:

So:

The coordinates of B is:

p> q if you calculate p is100 q is 79

5.5

step-by-step explanation: