What are the coordinates of the point that is 1/4 of the way from a to b ?

Answer:
((X_2 - X_1)/4, (Y_2 - Y_1)/4)
Step-by-step explanation:
C = The new point
X_1 = The x coordinate of A
X_2 = The x coordinate of B
X_3 = The x coordinate of C
Y_1 = The y coordinate of A
Y_2 = The y coordinate of B
Y_3 = The y coordinate of C
The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.
So, X_3 = (X_2 - X_1)/4
The Y is the same thing but for the Y coordinate.
Y_3 = (Y_2 - Y_1)/4
This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)