Midpoint Formula

In order to calculate the midpoint of any straight line, there needs to be some rules and methods. That's when Midpoint Formula can be used, especially if the coordinates of the end-point of the line are already mentioned.

Let the end points of the line be ($x_1$,$y_1$) and ($x_2$,$y_2$).   

Midpoint Formula

The Midpoint Formula is given as,

$(x+y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$  

Where  

$x_1$, $x_2$ are the co-ordinates of x-axis. 

$y_1$, $y_2$ are the co-ordinates of y-axis.

Midpoint Problems

Some solved problems on midpoint are given below:

Solved Examples

Question 1: Find the mid point of a line whose end points are (3,6) and (4,9)? 

Solution:

Given, 

($x_1$,$y_1$) = (2,7) 

($x_2$,$y_2$) = (6,9)   

The midpoint formula is, 

$(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

(x,y) =  ((2+6)/2,(7+9)/2 )

(x,y) =  (4,8)

Question 2: Find the mid point of a line whose end points are (5,19) and (13,5)? 

Solution:    

Given, 

$(x_1,y_1)$ = (5,19) 

$(x_2,y_2)$ = (13,5)   

The midpoint formula is, 

$(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

(x,y) =  ((5+13)/2,(19+5)/2 )

(x,y) =  (9,12)

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