Question

What is the y-coordinate of the midpoint of line segment AB with points A(2 , -53) and B( 5, -69).

Answer 1

Given:-

• 
  `\textrm{A ( 2 , -53 )}`

`\:`

• 
  `\textrm{B ( 5 , -69 )}`

`\:`

To Find:-

• 
  `\textrm{Midpoint of line seg AB }`

`\:`

By using formula:-

• 
  `\bigstar{ \underline{ \boxed{ \rm \purple{midpoint = ( (x_1 + x_2)/(2) , (y_1 + y_2 )/(2) )}}}}`

`\:`

Solution:-

• 
  `\rm{M = ( (x_1 + x_2)/(2) , (y_1 +y_2)/(2) )}`

`\:`

where,

`\underline{\rm \star{ \green{ \: A : x_1 = 2 , x_2 = 5 \: }}}`

`\underline{\rm{ \star{ \color{green} \: B : y_1 = -53 , y_2 = -69 \: }}}`

`\:`

• 
  `\rm{M = ( (2 + 5)/(2) , (-53 + ( -69 ))/(2) )}`

`\:`

• 
  `\: \rm{M = ( (2 + 5)/(2) , (-53 - 69)/(2) )}`

`\:`

• 
  `\rm \: M = ( (7)/(2) , (-122 )/(2) )`

`\:`

• 
  `\boxed{ \rm \orange{M = ( (7)/(2) , - 61 )}}`

`\:`

or

• 
  `\boxed{ \rm \color{hotpink}{M = 3.2 , -61 }}`

`\:`

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hope it helps! :)