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 = (
,
)
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).