Find the point that splits segment gh in half if point g is located at (−3, 5) and point h is located at (0, −2).
(1, −1)
(4, 1)
(1.5, 3.5)
(−1.5, 1.5)

The point that splits segment GH in half if point G is located at (−3, 5) and point H is located at (0, −2) is:

                                      (−1.5, 1.5)

Let C be the points that split the segment GH into two equal parts.

This means that C act as the mid-point of the line segment GH.

We know that the coordinate of the mid-point (e,f) of segment AB with vertices (a,b) and (c,d) respectively is given by:

Here we have:

G(A,B)=G(-3,5) and H(c,d)=H(0,-2)

Hence, the vertices of C(e,f) are:

and

              Hence, the coordinate of mid-point are:

                               (-1.5,1.5)