Question

Find the midpoints of the line segment joining the points A (-2,8) and B (-6,-4).

Answer 1

Given,

The endpoints of a line (-2.8) and (-6,-4)

To Find,

The midpoints of the line segment

Solution,

The formula for calculating the midpoint is

[(x₁+x₂)/2, (y₁+y₂)/2], where (y₂,x₂) and (y₁,x₁) are given two points.

Since, we are given the end points of the line segment

Therefore,

Mid point = [(-2-6)/2 , (8-4)/2]

                = [ -8/2 , 4/2 ]

                = [ -4, 2 ]

Hence, the midpoint of line segment AB is (-4,2).

Answer 2

The midpoint the line segment joining the points A ( - 2,8) and B ( - 6, - 4) is ( - 4,2)

Given :

The points A ( - 2,8) and B ( - 6, - 4)

To find :

The midpoint the line segment joining the points A ( - 2,8) and B ( - 6, - 4)

Formula :

For the given two points ( x₁ , y₁) & (x₂ , y₂)

The midpoint of the line AB is

$\displaystyle \sf{ \bigg( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} \bigg)}$

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are A ( - 2,8) and B ( - 6, - 4)

Step 2 of 2 :

Find the midpoint of the line segment

The midpoint the line segment joining the points A ( - 2,8) and B ( - 6, - 4)

$\displaystyle \sf{ = \bigg( \frac{ - 2 - 6}{2} , \frac{8 - 4}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{ - 8}{2} , \frac{ 4}{2} \bigg)}$

$\displaystyle \sf{ = ( - 4,2)}$

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