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" . __________________________________________________
