Question

find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)

Answer 1

The anwser is
x1+x2/2
so
-2+3/2
=1/2
=0.5

Answer 2

Answer:  The required co-ordinates of the point are (0.5, 5.5).

Step-by-step explanation:  We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).

The point that splits the line segment CD in half will be the mid-point of the segment CD.

We know that

the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the given point that splits CD in half are given by

$\left(\dfrac{-2+3}{2},\dfrac{4+7}{2}\right)=\left(\dfrac{1}{2},\dfrac{11}{2}\right)=(0.5,5.5).$

Thus, the required co-ordinates of the point are(0.5, 5.5).