Find the equation in slope intercept form
through (8,-1) and (4,3)

y = -x + 7

Step-by-step explanation:

Find the slope

m = y2 - y1 / x2 - x1

Given two points

( 8 , -1) ( 4 ,3)

x1 = 8

y1 = -1

x2 = 4

y2 = 3

m = (3 -(-1) / ( 4 - 8)

m = 3 + 1 / 4 - 8

= 4 / -4

= -1

Using a point slope form equation

y - y1 = m( x - x1)

Using the second point

( 4 , 3)

x1 = 4

y1 = 3

m = -1

y - 3 = -1( x - 4)

Using a slope intercept form equation

Open the bracket with -1

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

The equation of a line is

y = -x + 7

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.

ddd

step-by-step explanation: