Question

Determine the midpoint of the line segment joining of pair of points

Answer 1

`\text{ The mid-point of the segment is \lparen}\frac{\text{ 1}}{\text{ 2}},\text{ -}\frac{\text{ 11}}{\text{ 2}})`

Step-by-step explanation

Given that;

`\text{ \lparen8, -8\rparen and \lparen-7, -3\rparen}`

Follow the steps below to find the mid-point of the segment

let x1 = 8, y1 = -8, x2 = -7, and y2 = -3

The formula for calculating mid-point is given below

`\text{ \lparen}\frac{\text{ x1 + x2}}{2},\text{ }\frac{\text{ y1 + y2}}{\text{ 2}})`

Substitute the given data into the above data

`\begin{gathered} \text{ \lparen}\frac{\text{ 8 + \lparen-7\rparen}}{\text{ 2}},\text{ }\frac{-8\text{ + \lparen-3\rparen}}{2}\text{ \rparen} \\ \\ \text{ \lparen }\frac{8\text{ - 7}}{2},\text{ }\frac{\text{ -8 - 3}}{2}) \\ \\ \text{ \lparen}(1)/(2),\text{ }(-11)/(2)) \end{gathered}`