Question

If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?

Answer 1

Answer:  The required midpoint of the given segment is (4, 3).

Step-by-step explanation:  Given that the co-ordinates of the endpoints of a line segment AB are A(9, 8) and B(-1, -2).

We are to find the midpoint of the segment AB.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by

$M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the midpoint of segment AB are

$M\\\\\\=\left(\dfrac{9+(-1)}{2},\dfrac{8+(-2)}{2}\right)\\\\\\=\left(\dfrac{9-1}{2},\dfrac{8-2}{2}\right)\\\\\\=\left(\dfrac{9}{2},\dfrac{6}{2}\right)\\\\=(4,3).$

Thus, the required midpoint of the given segment is (4, 3).