Question

Given the coordinates below, what is the midpoint of AB?
A(-6, -10)
B(2,5)

Answer 1

Given :

`\:`

• A(-6, -10)
• B( 2, 5)

`\:`

`\gray{ \frak{The \: given \: two \: \: points \: are(x_(1 ),y_(1))=(−6 , -10)and(x_( 2 ),y_(2) )=( 2,5 )\:}}`

`\:`

Let's solve by using midpoint formula :

`\:`

`\bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ (x_(1 ) + y_(1))/(2) , (x_(2 ) + y_(2))/(2) )}}}`

`\:`

`\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ ( -6 + 2)/(2) , ( - 10 + 5)/(2) )}}`

`\:`

`\: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ ( -4)/(2) , ( - 5)/(2) )}}`

`\:`

`\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel( -4)/(2) , \cancel( - 5)/(2) )}}`

`\: \:`

`\underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓`

Hope Helps! :)