point 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?

Step-by-step explanation:

The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;

Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4

From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4

From the coordinates above;

Similarly to get y;

Hence the value of x is -2 and y is -2.