Question

Given the points (-1,-5) and D(-7, 11). find the coordinates of point E

on CD such that the ratio of CE to ED is 5:3.

Answer 1

The coordinates of point E are (-19/4,8)

Explanation:

To find this, we use the internal division formula;

The formula is as follows;

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

From the question;

m = 5 n = 3

x1 = -1 , y1 = -5

x2 = -7 , y2 = 11

Substitute these values;

(x ,y) = 5(-7) + 3(-1)/(3 + 5) , 5(11) + 3(-5)/(5 + 3)

(x , y) = (-35-3)/8, (55-15)/8

(x,y ) = -38/8, 40/8

(x,y) = -19/4, 5