Point A is located at (0, 4) and point B is located at (−2, −3). Find the point that is 1 over 4 the distance from point A to point B.

(−1, 0.75)

(−0.75, 2)

(−0.5, 2.25)

(−0.25, 3)

Question

Point A is located at (0, 4) and point B is located at (−2, −3). Find the point that is 1 over 4 the distance from point A to point B.

 (−1, 0.75)

 (−0.75, 2)

 (−0.5, 2.25)

 (−0.25, 3)

anonymous · Answer

Best solution is to find the line equation in parametric form. For this you need a point [say (0,4)] and a vector (say AB)$$(x,y)=(x_A,y_A)+t(x_B-x_A,y_B-y_A)$$Note that when you do t=1 you get B. The solution to your problem is when t=0.25