Respuesta :

In general if we have two end points as [tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex]

So we can find mid point of these two points by using below formula as

x - co-ordinate of mid point is
[tex]x = \frac{x_1+x_2}{2} [/tex]

y - co-ordinate of midpoint is
[tex]y = \frac{y_1+y_2}{2} [/tex]

So in given question let co-ordinate of point k is (a , b).
Co-ordinate of j is given as (14 , 9)

So we can find x co-ordinate of midpoint of jk is
 [tex]x = \frac{x_1+x_2}{2} [/tex]
Where [tex]x_1 = 14 [/tex] and [tex]x_2 = a[/tex]
x co-ordinate of midpoint is given as x = 6

[tex]6 = \frac{14+ a}{2} [/tex]
[tex]12 = 14 + a[/tex]
[tex]a = 12-14 = -2[/tex]

We can find y co-ordinate of jk as
[tex]y = \frac{y_1+y_2}{2} [/tex]

Where [tex]y_1 = 9 [/tex] and [tex]y_2 = b [/tex]
y co-ordinate of midpoint is  3.
[tex]3 = \frac{9+b}{2} [/tex]
[tex]6 = 9+ b[/tex]
[tex]b = 6-9 = -3[/tex]

SO co-ordinate of k point is (-2 , -3).

Answer:

In general if we have two end points as  and

So we can find mid point of these two points by using below formula as

x - co-ordinate of mid point is

y - co-ordinate of midpoint is

So in given question let co-ordinate of point k is (a , b).

Co-ordinate of j is given as (14 , 9)

So we can find x co-ordinate of midpoint of jk is

Where  and

x co-ordinate of midpoint is given as x = 6

We can find y co-ordinate of jk as

Where  and

y co-ordinate of midpoint is  3.

SO co-ordinate of k point is (-2 , -3).

Step-by-step explanation:

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