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

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

so
(2 , 1/2)

Answer 2

The answer is: "1" .
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Step-by-step 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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