Question

Point M(11, -10) divides NO’ such that NM : MO is 4:1. If N is located at (3, -2), what are the coordinates of O?

Write your answers as integers or decimals.

Answer 1

The coordinates of point O are approximately (9.4, -10.4).

Step-by-step explanation:

To find the coordinates of point O, we can use the concept of section formula in coordinate geometry. We know that the ratio of NM to MO is 4:1. Let's represent the coordinates of point O as (x, y). Given that N is located at (3, -2) and M is located at (11, -10), we can use the section formula.

Using the section formula, we can calculate the coordinates of O as:

x = (4 * 11 + 1 * 3) / (4 + 1) = 47/5 = 9.4
y = (4 * (-10) + 1 * (-2)) / (4 + 1) = - 52/5 = -10.4

Therefore, the coordinates of point O are approximately (9.4, -10.4).