What are the coordinates of the midpoint of the segment whose endpoints are A(−1, 9) and B(3, 8) ? Answer in decimals

Question

What are the coordinates of the midpoint of the segment whose endpoints are A(−1, 9) and B(3, 8) ? Answer in decimals

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    0
    2022-01-06T02:40:00+00:00

    Midpoint formula: (x1+x2/2 , y1+y2/2)
    So,  (-1+3/2  , 9+8/2)
    -2/2 = -1      17/2 = 8.5
    Answer: (-1,8.5)

    0
    2022-01-06T02:40:38+00:00

    Answer:

    Mid point of  line segment whose endpoints are A(−1, 9) and B(3, 8) is (1,8.5)

    Step-by-step explanation:

    We are given endpoints of a line segment as A(−1, 9) and B(3, 8) and we have to find the mid points of the given line segment

    Mid point can be calculated using mid point formula.

    Mid point formula stated as for a given line segment having end points A(x_1,y_1) and B(x_2,y_2) , we can calculate coordinates of mid point using,

    (x_3,y_3)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

    Where (x_3,y_3) is the mid point.

    We are given x_1=-1 , y_1=9 ,x_2=3 ,y_2=8

    Put the values above, we get,

    (x_3,y_3)=(\frac{-1+3}{2},\frac{9+8}{2})

    \Rightarrow (x_3,y_3)=(\frac{2}{2},\frac{17}{2})

    \Rightarrow (x_3,y_3)=(1,8.5)

    Thus, mid point of  line segment whose endpoints are A(−1, 9) and B(3, 8) is (1,8.5).

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