Answer :
The points that divide line segment AB into four equal parts are; (-2, -3), (-3, 3/2), (-1, 9/2)
How to divide a line segment into equal parts?
A(−4,2) & B(0,8) are the end points of the line segment AB.
If the line AB is divided into 4 segments then there will be 3 points p, q & r such that Ap = pq = qr = Bq.
Then, q is the mid point of AB.
p is the mid point of Aq, and r is the mid point of Bq.
We shall apply mid point formula;
(X, Y) = (x2 + x1)/2, (y2 + y1)/2
q = (-4 - 0)/2, (2 - 8)/2 = (-2, -3)
p = (-4 - 2)/2, (0 + 3)/2 = (-3, 3/2)
r = (-2 + 0)/2, (3 + 6)/2 = (-1, 9/2)
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