Question

Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.

Answer 1

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

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

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3                   y =    (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8                          y =    (20 + 51) / 8

x = (-12) / 8                                     y =    (71) / 8

x = -3 / 2 = -1.5                                    y =    8.875

Thus, coordinate of point p is (-1.5, 8.875).