Points a, b and c are collinear on ac, and ab: bc=3/4. a is located at (x, y), b is located at (4,1), and c is located at (12,5). what are the values of x and y?

 The required values are  x = 2  and  y = 2.

Step-by-step explanation:  Given that the points A, B and C are collinear on AC and AB : BC = 3 : 4.

Also, A is located at (x, y), B is located at (4, 1) and C is located at (12,5).

We are to find the values of x and y.

We know that

the co-ordinates of a point that divides a line segment with endpoints (a, b) and (c, d) in the ratio m : n are given by

According to the given information, we get

and

Thus, the required values are  x = 2  and  y = 2.

square root

step-by-step explanation: