What is the midpoint of the line segment with endpoints (3.2, 2.5) and (1.6, –4.5)?
Answer: The answer is (2.4, -1).
Step-by-step explanation: The given points are A(3.2, 2.5) and B(1.6, -4.5). We are to find the mid-point of the line segment AB with endpoints A and B.
We know that the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are
\((\dfrac{a+c}{2},\dfrac{b+d}{2}).\)
Therefore, the co-ordinates of the mid-point of the line segment AB is given by
\((\dfrac{3.2+1.6}{2},\dfrac{2.5-4.5}{2})=(\dfrac{4.8}{2},\dfrac{-2}{2})=(2.4,-1).\)
Thus, the answer is (2.4, -1).