Question

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.

A(-7,-5), B(-2, 0) ; 1 to 4

Answer 1

P = (-6, 4)

Explanation:

A = (x1,y1) = (-7,5)

B = (x2,y2) = (-2,0)

m:n = 1:4

P = (x, y)

= ( mx2 + nx1/ m + n , my2 + ny1/ m + n )

= ( 1(-2) + 4(-7)/1+4 , 1(0) + 4(5)/ 1+4 )

= ( -2 - 28 / 5 , 20 / 5 )

= ( - 30 / 5 , 4 )

= ( -6 , 4)

P = (-6, 4)