Math, asked by 000rishudalal, 9 months ago

P is the mid-point of line segment joining A(-2,4) and B(2,-3), then the coordinates of P are

Answers

Answered by Stera
1

Answer

The coordinates of the point P is (0 , 1/2)

Given

  • P is the mid point of the line segment joining A(-2 , 4) and B(2 , -3)

To Find

  • The coordinates of P

Formula to be used

If (x , y) is a mid point of the line joining the points (x₁ , y₁) and (x₂ , y₂) , then :

\sf x = \dfrac{x_{2} + x_{1}}{2} \: \: and \: \: y = \dfrac{y_{2}+y_{1}}{2}

Solution

Let us consider the coordinates of the point P be (x , y)

Since , the P point is the mid point of the line AB so ,

 \rm  \implies x =  \dfrac{ - 2 + 2}{2}   \:  \: and \:  \:  \implies y =  \dfrac{4 - 3}{1 + 1}  \\  \\  \rm\implies x =  {0} \:  \: and \:  \:  \implies y =  \dfrac{1}{2}

Thus , the coordinates of the points P is (0 , 1/2)

Answered by Thelncredible
1

Given ,

The point P is the mid point of line segment joining A(-2,4) and B(2,-3)

We know that , the mid point line segment joining (x1 , y1) and (x2 , y2)

 \boxed{ \sf{x =  \frac{ x_{2} + x_{1}}{2}  \:  \: , \:  \: y = \frac{ y_{2} + y_{1}}{2}  }}

Thus ,

x = (2 - 2)/2 , y = (-3 + 4)/2

x = 0 , y = 1/2

 \therefore The coordinates of P is (0 , 1/2)

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