Question

Find the midpoint of the line segment joining points A and B.
A(6-7); B(4,3)

Answer 1

Answer:
`\Large\boxed{Midpoint=(5,~-2 )}`

Explanation:

Given information

`(x_1,~y_1)=(6,~-7)`

`(x_2,~y_2)=(4,~3)`

Given the midpoint formula

`Midpoint=((x_1+x_2)/(2) ,~(y_1+y_2)/(2) )`

Substitute values into the given formula

`Midpoint=(((6)+(4))/(2) ,~((-7)+(3))/(2) )`

Simplify values on the numerator

`Midpoint=((10)/(2) ,~(-4)/(2) )`

Simplify the fractions

`\Large\boxed{Midpoint=(5,~-2 )}`

Hope this helps!! :)

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