Question

8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M

a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)

Answer 1

Explanation:

`\underline{ \underline{ \text{Given \: points}}} :`

• G ( -8 , -9 ) & H ( 8 , 3 )

`\underline{ \underline{ \text{To \: find}}} :`

• Midpoint of the given points

`\underline{ \underline{ \text{Solution}}} :`

Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)

`\boxed{ \sf{Midpoint = ((x_(1) + x_(2))/(2)} \: , (y_(1) + y _(2))/(2) )}`

⟶
`\tt{( ( - 8 + 8)/(2) \:, ( - 9 + 3)/(2) ) }`

⟶
`\tt{( (0)/(2) \: , ( - 6)/(2)} )`

⟶
`\tt{(0 \: ,- 3})`

`\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}`

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Answer 2

Answer:SEE BELOW

Explanation:

Average the X and Y coordinates (X,Y)

X = (-8 + 8)/2 = 0

Y = (-9 + 3)/2 = -3

(X,Y) = (0,-3)