Question

find the coordinate of the midpoint of the line segment joining the point A(-5, 4) and B(7, -8) ?

Answer 1

let p(x,y) be mid point of AB.
by mid point formula, p(x,y)=((x₂+x₁)÷2,(y₂+y₁)÷2 )
                                     p(x,y)=((7-(-5))÷2,(-8+4)÷2)
                                     p(x,y)=((7+5)÷2,4÷2)
                                     p(x,y)=(12÷2,2)
                                     p(x,y)=(6,2)
                                     p(6,2)

Answer 2

Answer:

(1,-2)

Step-by-step explanation:

Given : $A(x_1,y_1) =(-5,4)$

$B(x_2,y_2) =(7,-8)$

To find coordinates of mid point i.e.(x,y) on line AB

we will use formula:

$x=\frac{x_1+x_2}{2}$

$x=\frac{-5+7}{2}$

$x=\frac{2}{2}$

⇒x=1

$y=\frac{y_1+y_2}{2}$

$y=\frac{4-8}{2}$

$y=\frac{-4}{2}$

$y=-2$

So, coordinate of mid point is (1,-2)