Question

The directed line segment from L to M has endpoints L(-6,2) and N(5,-3) what are the c and y coordinates of point M which partitions the directed line segment into the ratio 2:5

Answer 1

ANSWER

x = - 20}{7}

y={ 4}{7}

Explanation:

Answer 2

`(-(20)/(7),(4)/(7))`

Explanation:

Given question is incomplete; here is the complete question.

The directed line segment from L to N has endpoints L(-6,2) and N(5,-3) what are the c and y coordinates of point M which partitions the directed line segment into the ratio 2:5 ?

Segment LM has the endpoints L(-6, 2) and M(5, -3).

A point M which has the coordinates (x, y) divides the segment LM in the ratio of m : n.

Then the coordinates of point M will be,

x =
`(mx_2+nx_1)/(m+n)`

and y =
`(my_2+ny_1)/(m+n)`

If the given ratio m:n = 2:5

x =
`(2(5)+5(-6))/(2+5)`

=
`(10-30)/(2+5)`

= -
`(20)/(7)`

y =
`(2(-3)+5(2))/(2+5)`

=
`(4)/(7)`

Therefore, coordinates of point M will be
`(-(20)/(7),(4)/(7))`