Answer:
The coordinates of the point, (x₂, y₂), 1/4 distance from A to B is given as follows;
[tex](x_2, \ y_2) = \left (x_1 + \dfrac{x_3 - x_1}{4}, \ y_1 + \dfrac{y_3 - y_1}{4} \right)[/tex]
Step-by-step explanation:
The steps used to find the point, P, 1/4 of the distance from A to B is as follows
Let the coordinate of the point A = (x₁, y₁) and the coordinate of the point B = (x₃, y₃)
Therefore, the coordinates of the point, P, (x₂, y₂), is given from the following relationship;
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
Where;
x₂ = x₁ + (x₃ - x₁)/4
y₂ = y₁ + (y₃ - y₁)/4
By plugging in the values for x₁, y₁, x₃, and y₃, we can find the coordinates of the point P, 1/4 of the distance from A to B
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
