Question

What is the midpoint of the line segment with end points (-8,-7) and (-7,-8)

Answer 1

The midpoint is (-15/2,-15/2) or (-7.5,-7.5)

Explanation:

Midpoint is the formula:

`\displaystyle{ \left( \frac {x_1 +x_2}{2} \: , (y_1 + y_2)/(2) \right)}`

Substitute in the points (x,y) which we are given in the problem

`\displaystyle{ \left( \frac { - 8 +( - 7)}{2} \: , ( - 7 +( - 8))/(2) \right)} \\ \\ \displaystyle{ \left( \frac { - 8 - 7}{2} \: , ( - 7 - 8)/(2) \right)} \\ \\ \displaystyle{ \left( \frac { -15}{2} \: , ( -15)/(2) \right)}`

Therefore, the midpoint is (-15/2,-15/2) or (-7.5,-7.5)