What are 6 coordinates that equally divide the line between (-3,4) and (9,22)?

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Answer 1 · 2018-01-10T15:54:14

Coordinates of the five intermediate points that will divide the given line segment into 6 equal parts are

#color(blue)((-1, 7), (1, 10), (3, 13), (5, 16), (7, 19)#

To get 6 equal segments, we need five points in between the two end points.

Let the 5 points be #P1, P2, P3, P4, P5#

Given #A(-3,4), B(9,22)#

Applying the weighted average by generalizing the midpoint formula we can get the incremental value of x & y for six equal segments.

Name the five intermediate points as P1 to P5

Find the difference of the x coordinates between A & B and divide by 6. This will be your increment of x values

#(9 - (-3)) / 6 = 2#. This will give the incremental value of x.

Likewise for y,

#(22 - 4) / 6 = 3 will be the incremental value.

Then the coordinates of the five intermediate points are

#A (-3,4)#

#P1 (-1, 7)#

#P2 (1, 10)#

#P3 (3, 13)#

#P4 (5, 16)#

#P5 (7,19)#

#B (9,22)#