2. what is the length of line segment cd? show all your work! (4 points correct answer 6 points work shown)

( c is at -5,-3 and d is at -2,1 )

The answer 
to find the length of line segment CD, we do the following method:
first, we must find the coordinates of vector CD
that is (xD-xC, yD-yC) =(-2-(-5), 1-(-3))=(-2+5, 1+3)=(3, 4)
next, computing the square root
CD=sqrt( 3² + 4²) = sqrt(9 +16) =sqrt(25)=5
so the value of CD=5