Question

Find the point P along the directed line segment from point A(-4, 5) to point B(12, 13) that divides the segment in the ratio 1:7.

A. (-1, 5)
B. (-1, 6)
C. (-2, 5)
D. (-2, 6)

Answer 1

To find the point P that divides the line segment AB in the ratio 1:7, we can use the concept of section formula. The coordinates of the point P(-1, 6), which is the correct answer.

Step-by-step explanation:

To find the point P that divides the line segment AB in the ratio 1:7, we can use the concept of section formula.

The coordinates of the point P(x, y) can be found using the formula:

x = (7 * xA + xB) / 8

y = (7 * yA + yB) / 8

Substituting the given coordinates of points A and B, we get:

x = (7 * -4 + 12) / 8 = -1

y = (7 * 5 + 13) / 8 = 6

Therefore, the point P is (-1, 6).