Question

Find the coordinates of a point divided a line segment join as A(6,0) and B(0,-4) an to four equal parts.
​

Answer 1

Answer:

Given-

A(−4,0) & B(0,6) are the end points of the line segment AB.

To find out-

The coordinates of the points which divide AB into 4 equal segments.

Solution

If the line AB is divided into 4 segments then there will be 3 points p,q & r such that Ap=pq=qr=Bq.

Then, q is the mid point of AB.

p is the mid point of Aq, and r is the mid point of Bq.

We shall apply mid point formula

(X,Y)=(

2

x

2

+x

1

,

2

y

2

+y

1

).

AB

M

=q=(

2

−4−0

,

2

0−6

)=(−2,−3).

Aq

M

=p=(

2

−4−2

,

2

0+3

)=(−3,

2

3

),

Bq

M

=r=(

2

−2+0

,

2

3+6

)=(−1,

2

9

).

Step-by-step explanation:

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