Question

Find the ratio in which the X axis divides the points on a line segment A (-4,7) and B(3 ,0)

Answer 1

Answer:

ANSWER

Point P(x,0) on x-axis intersects the line joining the points A(−4,6) and B(−1,7) . Let P divides the line ratio k:1 .

Using the section formula , we have

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

(I)

⇒

1

0

=

k+1

k(7)+1(−6)

⇒7k−6=0

⇒k=

7

6

⇒m

1

=6 and m

2

=7

Again using the section formula , we have

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

⇒x=

6+7

6(−1)+7(−4)

=

13

−6−28

⇒x=

13

−34

Now , y=

6+7

6(7)+7(−6)

=

13

42−42

[From (I)]

∴ Hence , the required point of intersection (

13

−34

,0)

Step-by-step explanation:

One thanks to me