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xz_007 [3.2K]
2 years ago
11

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

Geography
2 answers:
suter [353]2 years ago
6 0
The answer is:  "1" .
________________________________
Explanation:
________________________
To start, we find this coordinates of this "point that splits the segment in half", known as the "half-point"; or, even more formally, known as the "midpoint",  using the following "midpoint formula"; in which "M" refers to the "midpoint":
____________________________________
Given two coordinates (points) on a (straight line segment): 
______________________________
(x₁, y₁) ; AND:  (x₂ ,y₂ ) ;  

The midpoint , "M":
___________________________________
M = (x₁ + x₂) / 2  , (y₁ + y₂) / 2  ;
____________________________________

in which:   " (x₁ + x₂) / 2 " ; refers to the "x-coordinate" of the midpoint;
 
AND:        "(y₁ + y ₂) / 2 " ; refers to the "y-coordinate" of the midpoint;
_______________________________________________________
       If given two particular points, use can use point to start with, as long os the second one is used for the next one:
___________________________________________________
So, given:  Point A:  (4,3) ;  4 = x₁ ; 3 = y₁ ;
                  Pont B:  (-2,6)   -2 = x₂ ; 6 = y₂ ;
___________________________________________________
 The midpoint , "M":
___________________________________
M = (x₁ + x₂) / 2  , (y₁ + y₂) / 2 = ?  Substitute the values:
_______________________________________________
M = [4 +(-2)] / 2 , (3 + 6) / 2 ;
  
→    [(4 <span>− 2) / 2 ] , [(3+6) / 2 ] ;

</span>→ (2/2), (9/2) ; 

→ (1, 4.5)
__________________________________
The midpoint is: (1, 4.5).  This very question asks to find the "x-value" of the midpoint, which is "1" .  (Since:  x =1, y = 4.5).   
________________________________________
So, the answer is: "1" .
__________________________________________________
                    
Wittaler [7]2 years ago
3 0
Average x = (5-1)/2 = 2 
<span>average y = (-2+3)/2 = 1/2 

</span>so 
<span>(2 , 1/2)</span><span>


</span>
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