Question

find the coordinates of the point which divides the join of (-1 7) and (4 -3) in the ratio of 7:

2​

Answer 1

Step-by-step explanation:

THe coordinates of a point say

P

dividing a line segment

A

B

in the ratio

l

:

m

, where

A

(

x

1

,

y

1

)

and

B

(

x

2

,

y

2

)

are

(

l

x

2

+

m

x

1

l

+

m

,

l

y

2

+

m

y

1

l

+

m

)

Here we have to find the point

P

, that divides the line segment directed from

A

(

10

,

4

)

to

B

(

2

,

8

)

in the ratio of

1

:

4

, hence coordinates of point

P

are

(

1

×

2

+

4

×

10

1

+

4

,

1

×

8

+

4

×

4

1

+

4

)

or

(

42

5

,

24

5

)

or

(

8.4

,

4.8

)

graph{((x-10)^2+(y-4)^2-0.01)((x-2)^2+(y-8)^2-0.01)((x-8.4)^2+(y-4.8)^2-0.01)(x+2y-18)=0 [0.59, 10.59, 3.18, 8.18]}