Two points

M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3.
Find:
(i) the coordinates of M and N
(ii) slope of the line MN.

Correct answer:

Mx =  0
My =  0
Nx =  0
Ny =  
s =  

Step-by-step explanation:

P=(3,2) M ∈ x, N∈ y  My​=0 Nx​=0  ∣MP∣:∣PN∣ = 2:3 ∣MP∣ = (Mx​−Px​)2+(My​−Py​)2 ​  = (Mx​−3)2+(0−2)2 ​ ∣PN∣ = (Nx​−Px​)2+(Ny​−Py​)2 ​  = (0−3)2+(Ny​−2)2 ​  ∣MP∣ = (Mx​−3)2+4​ ∣PN∣ = 9+(Ny​−2)2​  (Mx​−3)2+4 : 9+(Ny​−2)2 = 22:32 = 4:8  Mx=Mx​=0

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