The coordinates of the midpoint of a line segment whose endpoints are (2 6) and (−4 8) is (-1,7)
Let us consider a line segment joining two points P and Q
[tex]\rm The\; Coordinates\; of\; point\; P = (x_1, y_1) \\ The\; Coordinates\; of\; point\; Q = (x_2, y_2) \\[/tex]
Let the mid point of the line joining points P and Q is O
The coordinates of O can be given by the equation as formulated in equation (1)
[tex]\rm Coordinates \; of \; mid \; point = ((x_1+ x_2 ) /2, (y_1+y_2)/2)........(1)[/tex]
From the given data the end points of the line segment are
(2,6 ) and (-4, 8)
Let the coordinates (2,6) are the coordinates of Point P
Let the coordinates (-4,8) are the coordinates of point Q
So the coordinates of point O can be determined by putting it in equation (1)
[tex]\rm Coordinates \; of \; the \; midpoint\; O = (( 2-4)/2, (6+8)/2) = (-2/2, 14/2) = (-1,7)[/tex]
So,the coordinates of the midpoint of a line segment whose endpoints are (2 6) and (−4 8) is (-1,7)
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https://brainly.com/question/13602481
