Question

Find the midpoint of the line segment connecting A(5,3) and B(3,-5).(1,-1)(4,-1)(-1,1)(4,1)

Answer 1

The formula to find the midpoint of the line segment from A(x₁,y₁) to B(x₂,y₂) is:

`\text{Midpoint }=((x_1+x_2)/(2),(y_1+y_2)/(2))`

In this case, we have:

`\begin{gathered} A\mleft(5,3\mright) \\ B\mleft(3,-5\mright) \\ \text{Midpoint }=((x_1+x_2)/(2),(y_1+y_2)/(2)) \\ \text{Midpoint }=((5+3)/(2),(3-5)/(2)) \\ \text{Midpoint }=((8)/(2),(-2)/(2)) \\ \text{Midpoint }=(4,-1) \end{gathered}`

Therefore, the midpoint of the line segment connecting A and B is (4,-1).