Question

The coordinates of the endpoints of MN are M(-8,12) and N(1,-6) 1. Point O is on overline MN and divides it such that MO:NO is 4:5 What are the coordinates of O? Write your answers as integers or decimals. a. (-3,4) b. (3.56,-4) c. (-3.56,4) d. (3,-4)

Answer 1

To find the coordinates of point O, divide the line segment MN into two parts, MO and NO, in the ratio 4:5.

Step-by-step explanation:

To find the coordinates of point O, we need to divide the line segment MN into two parts, MO and NO, in the ratio 4:5. We can do this by finding the x-coordinate and y-coordinate of O separately.

For the x-coordinate, we can use the formula:

xO = (4 * xN + 5 * xM) / (4 + 5)

Substituting the given coordinates, we get:
xO = (4 * 1 + 5 * (-8)) / (4 + 5) = -3

For the y-coordinate, we can use the formula:
yO = (4 * yN + 5 * yM) / (4 + 5)

Substituting the given coordinates, we get:
yO = (4 * (-6) + 5 * 12) / (4 + 5) = 4

Therefore, the coordinates of point O are (-3, 4).