Quadrisect a line segment: Find the points c1, c2, and c3 which divide the line segment joining the following points into 4 equal parts: (-7, 5) and (9, -7).
We can use the Midpoint Rule to find the point c2 which bisects the original line segment. Then we can bisect each of the two new line segments to find c1 and c3.
Use the original points(-7, 5) and (9, -7):
c2:
, or (1, -1)
Use the left end and the midpoint (-7, 5) and (1, -1):
c1:
, or (-3, 2)
Use the midpoint and the right end (1, -1) and (9, -7):
c3:
, or (5, -4)