Question

Find the midpoint for the line segment whose endpoints are (-10,11) and (-1,-15).

Answer 1

( -11/2, -2)

Explanation:

Finding the midpoint

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and then divide by 2

(-10+-1)/2 = -11/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and then divide by 2

(11+-15)/2 = -4/2 = -2

The mid point is ( -11/2, -2)

Answer 2

`\begin{gathered} \text{the midpoint of a line segment with endpoints } \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ } \\ \text{has coordinates} \\ ((x_1+x_2)/(2),(y_1+y_2)/(2)) \\ \\ So,\text{ if our points are (-10,11) and (-1,-15) then the midpoint is} \\ ((-10+(-1))/(2),(11+(-15))/(2))=((-11)/(2),-(4)/(2)) \\ \\ \text{the midpoint is then } \\ ((-11)/(2),-2) \end{gathered}`