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k = -2j+24

Step-by-step explanation:

We have 2 points on the trend line

(4,16) and (6,12)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (12-16)/(6-4)

   = -4/2

  = -2

The slope is -2

The y intercept is 24  (where it crosses the y axis)

Writing the equation in the form y= mx+b

k = -2j+24

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

step-by-step explanation: