Question

Find coordinates of the midpoint of the segment with the given endpoints.A(-4,6) and B(0,5)

Answer 1

We are given the following two endpoints

`A\mleft(-4,6\mright)\text{ and }B\mleft(0,5\mright)`

We are asked to find the coordinates of the midpoint of segment AB

Recall that the midpoint formula is given by

`\mleft(x_m,y_m\mright)=\mleft((x_1+x_2)/(2),(y_1+y_2)/(2)\mright)`
`\text{where (}x_1,y_1)=\mleft(-4,6\mright)\text{ and (}x_2,y_2)=\mleft(0,5\mright)\text{ }`

Let us substitute the given values into the midpoint formula

`\begin{gathered} (x_m,y_m)=(\frac{-4_{}+0_{}}{2},\frac{6_{}+5_{}}{2}) \\ (x_m,y_m)=(\frac{-4_{}}{2},\frac{11_{}}{2}) \\ (x_m,y_m)=(-2,\frac{11_{}}{2}) \end{gathered}`

Therefore, the coordinates of the midpoint between segment AB are found to be

`(x_m,y_m)=(-2,\frac{11_{}}{2})`