Question

Find the midpoint of the line segment joining points A and B.

A(8. - 5); B(6,1)
The midpoint of the line segment is
A)(7,-2)
B) (5,3)
C) (-2,7)
D)(0,0)

Answer 1

The midpoint of the line segment joining points A(8, -5) and B(6,1) is found using the midpoint formula, resulting in the point (7, -2), which is option A from the given choices.

Step-by-step explanation:

To find the midpoint of the line segment joining points A(8, -5) and B(6,1), use the midpoint formula:

M = ( (x1 + x2)/2 , (y1 + y2)/2 )

By plugging in the coordinates of A and B, we get:

M = ( (8 + 6)/2 , (-5 + 1)/2 )

M = ( 14/2 , -4/2 )

M = ( 7 , -2 )

Therefore, the midpoint of the line segment is (7, -2), which corresponds to option A in the provided choices.