5 Find the distance d and the midpoint M of the line segment

5.

Find the distance d and the midpoint M of the line segment between the given points ( 4, -11) ( -3, 5 )

Solution

given points are (x₁,y₁)= ( 4, -11) ,(x₂,y₂)=( -3, 5 )

distance d between  (x₁,y₁),(x₂,y₂) is d =[(x₁-x₂)²+(y₁-y₂)²]

d=[(4+3)²+(-11-5)²]

d=[49+ 256]

d=305

mid point M =((x₁+x₂)/2+(y₁+y₂)/2)

mid point M =((4-3)/2+(-11+5)/2)

mid point M =(1/2 ,-3)