Answer :
Answer:
Therefore the coordinate of P₂ is (-3,1)
Step-by-step explanation:
Mid point: The mid-point is a point from where the distance of the end points of a line segment is equal.
The co-ordinate of mid point of (x₁,y₁) and (x₂,y₂) is [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Here x₁= -5 and y₁= 9
And the coordinate of the mid point is (-7,1).
Let the coordinate of P₂ be (x,y)
Therefore the coordinate of midpoint of P₁ and P₂ is
[tex](\frac{-7+x}{2} ,\frac{1+y}{2} )[/tex]
According to the problem,
[tex]\frac{-7+x}{2} =-5[/tex]
[tex]\Rightarrow -7 +x=(-5)\times 2[/tex]
[tex]\Rightarrow -7 +x=-10[/tex]
[tex]\Rightarrow x=-10+7[/tex]
[tex]\Rightarrow x= -3[/tex]
and
[tex]\frac{1+y}{2} = 1[/tex]
[tex]\Rightarrow 1+y= 1\times 2[/tex]
[tex]\Rightarrow 1+y=2[/tex]
[tex]\Rightarrow y=2-1[/tex]
[tex]\Rightarrow y=1[/tex]
Therefore the coordinate of P₂ is (-3,1)