Question 1 (1 point) Find the coordinates of point P that divides the directed line segment from A to B in the given ratio. A(1, 2), B(5, 4), 1 to 1

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB  in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3  

Point P( -1, -3)