Question

Find the midpoint of the line segment joining the points (9,6) and (-1,-6).

The midpoint is
(Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{(4 \: , \: 0)}}}}}`

Explanation:

Let the points be A and B

Let A ( 9 , 6 ) be ( x₁ , y₁ ) and B ( -1 , -6 ) be ( x₂ , y₂)

Finding the mid points of the line segment joining these points

`\boxed{ \sf{midpoint = ( (x1 + x2)/(2) , \: (y1 + y2)/(2) )}}`

`\longrightarrow{ \sf{( (9 + ( - 1))/(2) , \: (6 + ( - 6))/(2)) }}`

`\longrightarrow{ \sf{ ((9 - 1)/(2) \: , \: (6 - 6)/(2) }})`

`\longrightarrow{ \sf{( (8)/(2) , \: (0)/(2) }})`

`\longrightarrow{ \sf{(4 \: , \: 0}})`

Hope I helped!

Best regards! :D