Question

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

Answer 1

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

Step-by-step explanation:

Given information

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

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

Given the midpoint formula

$Midpoint=(\dfrac{x_1+x_2}{2} ,~\dfrac{y_1+y_2}{2} )$

Substitute values into the given formula

$Midpoint=(\dfrac{(6)+(4)}{2} ,~\dfrac{(-7)+(3)}{2} )$

Simplify values on the numerator

$Midpoint=(\dfrac{10}{2} ,~\dfrac{-4}{2} )$

Simplify the fractions

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

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