Question

The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answer 1

`D(x,y) = (-1.5,3.5)`

Explanation:

Given

`E = (-3,2)`

`F = (3,8)`

`ED: DF = 1 : 3`

Required

Determine the coordinates of D

This is calculated as thus:

`D(x,y) = ((mx_2 + nx_1)/(m+n),(my_2 + ny_1)/(m+n))`

Where:

`(x_1,y_1) = (-3,2)`

`(x_2,y_2) = (3,8)`

`m:n = 1:3`

`D(x,y) = ((mx_2 + nx_1)/(m+n),(my_2 + ny_1)/(m+n))`

`D(x,y) = ((1 * 3 + 3 *-3)/(1+3),(1 * 8 + 3 * 2)/(1+3))`

`D(x,y) = ((-6)/(4),(14)/(4))`

`D(x,y) = (-1.5,3.5)`