Question

Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0, 15) and B is at (20, 0).

Answer 1

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Answer 2

Answer:

The point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0)

Let the coordinates of the point M is (x,y)

And {eq}m_{1} = 3 ~ and~ m_{2} {/eq}

m

1

=

Now apply the formula:

x

=

m

1

x

2

+

m

2

x

1

m

1

,

y

x

=

3

×

20

+

2

×

0

3

+

2

,

y

=

3

×

0

+

2

×

15

2

+

3

x

=

60

5

,

y

=

30

5

x

=

12

,

y

=

6

So the coordinates of point M is (12,6).