Find the slope of the line that goes through (-4, 5) and (3,-1)

y = (-6/7)x + 11/7

Step-by-step explanation:

Going from  (-4, 5)  to  (3,-1), x increases by 7 and y decreases by 6.  Hence, the slope, m, of this line is m = rise / run = -6/7.

Making use of the slope-intercept form of the equation of a str. line, we have:

y = mx + b  →   5 = (-6/7)(-4) + b, or

                        5 = 24/7 + b.  Thus, b = 11/7, and

y = (-6/7)x + 11/7

The formula to find slope when you know two points is

In this case...

^^^Plug these numbers into the formula for slope...

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

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.

x = 3 ± √(5+y)