The endpoints of AB are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1
The coordinate of point P is

Respuesta :

Answer:10

Step-by-step explanation:

Answer and Step-by-step explanation:

Sol: the ratio formula is

x-x1/x2-x = ratio     and    y-y1/ y2-y= ratio

x-(-7)/0-x=2/1          and    y-17/0-y=2/1

x+7=2(-x)                   and   y-17 = -2y

x+2x=-7                    and y+2y =17

3x=-7                       and 3y = 17

x=-7/3                   and y= 17/3

coordinates of point p that partition the segment in ratio is (-7/3, 17/3)

The midpoint formula is:

M= (x1+x2/2,        y1+y2/2)

  = (-7+0/2,          17+0/2)

   = (-7/2,           17/2) are the midpoint of AB.