181k views
5 votes
50 Points:

What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5

A. 1,2
B. 0,5/3
C. 2,3
D. -1,1

1 Answer

5 votes

Answer:

(-2,3)

Explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

User Chris Ostmo
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories