Question

The endpoints of AB are A(1,4) and (5,-1). What are the coordinates of the point that divides AB in the ratio 2:3? (Round any decimals to the tenth place.)

Answer 1

First, determine the length of the distance between points A and B; there are different methods to do this, either by graphically or analytically.
Graphically would involve you drawing the actual coordinate system, determining how many x-units and y-units there are, and then use the pythagorean theorem to solve for distance \(r = \sqrt{x^2 + y^2} \).
The other method, though a derivation from pythagorean theorem, involves solving analytically and making use of the distance formula \(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \)