Question

A line segment has the endpoints Q(3.2, –1.2) and R(–8.3, –10.1). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.

M = (
,
)

Answer 1

To find the coordinates of the midpoint M, we can use the midpoint formula:

Midpoint formula:
M(x, y) = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Given points:
Q(3.2, –1.2) and R(–8.3, –10.1)

Plugging in the coordinates:
M(x, y) = ( (3.2 - 8.3) / 2 , (-1.2 - 10.1) / 2 )
M(x, y) = ( (-5.1) / 2 , (-11.3) / 2 )
M(x, y) = ( -2.55 , -5.65 )

Therefore, the coordinates of the midpoint M are (-2.55, -5.65).