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

$A (-3,4)$

$P1 (-1, 7)$

$P2 (1, 10)$

$P3 (3, 13)$

$P4 (5, 16)$

$P5 (7,19)$

$B (9,22)$