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The equation of the line is:

Step-by-step explanation:

Given the table

x             y

0            0

1             3

2            6

3            9

4            12

The slope-intercept form of the line equation

where

Taking the two points from the table

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 3] / [2 - 1]

               = 3 / 1  

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

The graph of the line equation y = 3x is also attached.

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.