Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. If necessary, round to the nearest tenth. A(-2, 4), B(4, -3); 3 to 2

Answer 1

Since the ratio is 3:2, we are dividing line segment into 5 equal parts (3+2 = 5) and P is 3/5 of the way from A to B.

As we move along AB from A to B, the x-coordinates of the points on AB increase by 6 while the y-coordinates decrease by 7.

Let P = (x,y).

x = -2 + (3/5)(6) = 1.6

y = 4 - (3/5)(7) = -0.2

So, P = (1.6, -0.2).