Question

Find the midpoint of the segment between the points (15,−17) and (−8,−8)

Answer 1

coordinates of midpoint will be (3.5, -12.5).

Explanation:

Mid point of any segment joining two points (x,y) and x',y') is represented by

`[(x+x')/(2), (y+y')/(2) ]`

So midpoint of a segment joining (15,-17) and (-8,-8) will be

`[(15+(-8))/(2), (-17+(-8))/(2) ]`

=
`[(7)/(2), (-25)/(2) ]`

= [3.5,-12.5]

Therefore, coordinates of midpoint will be (3.5, -12.5).

Answer 2

( 7/2 , -25/2 ) or in decimal form = (3.5, -12.5)

Explanation:

According to the midpoint formula given 2 points (see attached)

(x-mid, y-mid),

= { [15 + (-8) ] / 2 , [-17 + (-8)] / 2 }

= ( 7/2 , -25/2 ) or (3.5, -12.5)