Question

The coordinates of the endpoints of

BC are B(-11,6) and C(5,-10). Point D is on

BC and divides it such that BD:CD is 7:1

Answer 1

The coordinates of point D, which divides line segment BC in the ratio 7:1, are (3, -7).

Step-by-step explanation:

We are given the coordinates of the endpoints of line segment BC as B(-11,6) and C(5,-10). Point D is on BC and divides it such that BD:CD is 7:1. To find the coordinates of point D, we can use the concept of section formula.

The section formula states that the coordinates of a point dividing a line segment in the ratio m:n are given by:

Aw=e (mx2+nx1)/(m+n), Ay=(my2+ny1)/(m+n)

Applying the section formula, we have:

Dx=e (7x5+1x-11)/(7+1) = 3

Dy=(7x-10+1x6)/(7+1) = -7

Therefore, the coordinates of point D are (3, -7).