Question:

Midpoint formula HELP?

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M(-2, -1) is the midpoint of RS(line segment). If S has coordinates of (2,4) find the coordinates of R...

i worked it out and i got that the coordinates of R are (2 -2) help please

im not sure about my answer

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  1. Midpoint formula: (where (x1, y1) and (x2, y2) are the endpoints of the segment)

    x-coordinate = (x1 + x2)/2

    y-coordinate = (y1 + y2)/2

    x-coordinate of midpoint is -2 and x-coordinate of S is 2:

    (x1 + x2)/ 2 = -2

    (2 + x2)/2 = -2

    2 + x2 = -4

    x2 = -6

    y-coordinate of midpoint is -1 and y-coordinate of S is 4:

    (y1 + y2)/2 = -1

    (4 + y2)/2 = -1

    4 + y2 = -2

    y2 = -6

    ANSWER: R(-6, -6)


  2. Consider a 2-D Cartesian-coordinate system:

    midpoint M of a stright line RS is:

    x-coordinate: Mx=(Rx+Sx)/2

    y-coordinate: My=(Ry+Sy)/2

    In your case:

    Mx = -2 = (Rx+2)/2  --->  Rx = -6

    My = -1 = (Ry+4)/2  --->  Ry = -6

    Coordinates of R are (-6,-6)
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