Question

43 Points AND BRAINIEST NEED HELP ASAP What are the coordinates of point p?

Answer 1

Answer:

(- 1, 1 )

Step-by-step explanation:

Using the section formula

x = $\frac{1(1)+2(-2)}{1+2}$ = $\frac{1-4}{3}$ = $\frac{-3}{3}$ = - 1

y = $\frac{1(13)+2(-5)}{1+2}$ = $\frac{13-10}{3}$ = $\frac{3}{3}$ = 1

Thus the coordinates of  P = (- 1, 1 )

Answer 2

Answer:

taking a vector approach to the question

2

−−−→

M

N

=

3

−−→

M

P

⇒

2

(

n

−

 

−

m

−−  

)

=

3

(

p

−

 

−

m

−−  

)

⇒

2

n

−

 

−

2

m

−−  

=

3

p

−

 

−

3

m

−−  

⇒

3

p

−

 

=

2

n

−

 

+

m

−−  

⇒

3

p

−

 

=

2

(

4

−

2

)

+

(

10

13

)

⇒

3

p

−

 

=

(

8

−

4

)

+

(

10

13

)

=

(

18

9

)

⇒

p

−

 

=

1

3

(

18

9

)

=

(

6

3

)

⇒

P

=

(

6

,

3

)

Sorry the format dident turn out how i wanted it to be, I hope this helps.