Question

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

Answer 1

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)

Answer 2

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).