Segment Division

Question

Find the coordinates of all the terminal pointa of the segment joining the points (-15,4) and (17,-8) divided into 5 segments

Answer 1

(-15, 4) and (17, -8) divided in 5 segments have endpoints

where the differences in the x coordinates of the two given points are divided in 5

-15-17= -32. 32/5 = 6.4

4--8 = 12 12/5 = 2.4

-15+6.4 = -8.6

-8.6+6.4 = -2.2

-2.2+6.4 = 4.2

4.2+6.4 = 10.6

10.6 + 6.4 = 17

4 -2.4 = 1.6

1.6 -2.4 = -.8

-.8 -2.4 = -3.2

-3.2 -2.4 = - 5.6

-5.6-2.4 = -8

points dividing the given two points in 5 segments

are

(-15, 4), (-8.6, 1.6), (-2.2, -0.8), (4.2, -3.2), (10.6, -5.6), (17,-8)

from (-15, 4) to (17,-8) is a distance of sqr(32^2 + 12^2) = sqr1168=about 34.2

each segment = about 34.2/5 =6.8

5 x 6.8 = 34