Question

I need help solving these two problems please

Answer 1

Answer: 9. (6,-1) 10. (8,5)

Explanation:

9)

(2,0) (10,-2)

x₁=2 x₂=10 y₁=0 y₂=-2

`\displaystyle\\The\ midpoint\ (x,y)=((2+10)/(2),(0+(-2))/(2) )\\\\The\ midpoint\ (x,y)=((12)/(2),(-2)/(2) )\\\\The\ midpoint\ (x,y)=(6,-1 )`

10)

(-10,-7) the midpoint(-1,-1)

`\displaystyle\\-1=(-10+x)/(2)\\\\ Multiply\ both\ parts\ of \ the\ equation\ by\ 2:\\-2=-10+x\\-2+10=-10+x+10\\8=x\\Thus,\ x=8\\\\-1=(-7+y)/(2) \\\\ Multiply\ both\ parts\ of \ the\ equation\ by\ 2:\\-2=-7+y\\-2+7=-7+y+7\\5=y\\Thus,\ y=5\\\\Hence, (8,5)`