Question

What are the coordinates of the point that is of the way from A to B?

-2
6-
5
N
A (-4,-2)
M
2
HHHH
4 6 8 10
OA. (-1,-2)
OB. (5,-2)
O C. (2,-2)
O D. (5,0)
B (11,-2)

Answer 1

A to B is (-1,-2).

Explanation:

The points are A = (-4, -2) and B = (11, -2).

We need to find the coordinates of the point that is 2/5 of the way from A to B.

Now distance of A and B =

`√((-4-11)^2 + (-2+2)^2 ) = √(15^2) = 15`

Now required co-ordinate is away 2/5 th distance from A to B.

`15 * (2)/(5) = 3`

Let, required co-ordinate be (x,y). Now, distance between (x,y) and (-4,-2) = 3

`√((x+4)^2 + (y+2)^2 )` = 3 (1)

We are putting first point (5,0) in equation (1) and get:
`√((5+2)^2 + (0+2)^2 \\eq 3)`

Again putting (-1,-2) in equation (1), and get :

`√((-1+4)^2 + (-2 + 2 )^2) = 3`

Therefore the answer to your problem is, A. (-1,-2)