Linear Functions, Determining Slope Find the slope of the line that passes through the given points. Then determine if the line is increasing,
decreasing, horizontal or vertical.
Note: If the slope does not exist, enter DNE
Ordered Pairs
Slope
Behavior
m =
(15,3) and (17,7)
Select an answer
m =
(6,0) and (8, – 8)
Select an answer
m =
(8, -7) and (12, - 7)
Select an answer
m =
(-2,- 11) and (10,49)
Select an answer
m =
(4, - 5) and (4,7)
Select an answer

i hope this helps! let me know if i got something wrong.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)