Question

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).

Answer 1

The answer is:  "1" .
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Explanation:
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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":
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Given two coordinates (points) on a (straight line segment): 
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(x₁, y₁) ; AND:  (x₂ ,y₂ ) ;  

The midpoint , "M":
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M = (x₁ + x₂) / 2  , (y₁ + y₂) / 2  ;
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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;
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       If given two particular points, use can use point to start with, as long os the second one is used for the next one:
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So, given:  Point A:  (4,3) ;  4 = x₁ ; 3 = y₁ ;
                  Pont B:  (-2,6)   -2 = x₂ ; 6 = y₂ ;
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 The midpoint , "M":
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M = (x₁ + x₂) / 2  , (y₁ + y₂) / 2 = ?  Substitute the values:
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M = [4 +(-2)] / 2 , (3 + 6) / 2 ;
  
→    [(4 − 2) / 2 ] , [(3+6) / 2 ] ;

→ (2/2), (9/2) ; 

→ (1, 4.5)
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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).   
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So, the answer is: "1" .
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Answer 2

Average x = (5-1)/2 = 2 
average y = (-2+3)/2 = 1/2 

so 
(2 , 1/2)