Question

What are the coordinates of point P on the directed line segment AB that divides AB in the ratio 1:5?

a) (-4, -2)
b) (-2, -1)
c) (0, 0)
d) (2, 1)
e) (4, 2)

Answer 1

To find the coordinates of point P on the directed line segment AB that divides AB in the ratio 1:5, we can use the formula for finding the coordinates of a point that divides a line segment in a given ratio.

Step-by-step explanation:

To find the coordinates of point P on the directed line segment AB that divides AB in the ratio 1:5, we can use the formula for finding the coordinates of a point that divides a line segment in a given ratio. Let's assume the coordinates of point A are (x1, y1) and the coordinates of point B are (x2, y2). The coordinates of point P can be found using the following formulas:

x = (5x1 + x2) / 6

y = (5y1 + y2) / 6

Plugging in the given coordinates for points A and B, we get:

x = (5 * -2 + 4) / 6 = -2/3

y = (5 * -1 + 2) / 6 = -1/3

Therefore, the coordinates of point P are (-2/3, -1/3), which is closest to option (b) (-2, -1).