Find the slope and the y-intercept of the equation 4x + 5y = -9.

A. slope = `4/5` and y-intercept = `-(9)/(5)`
B. slope = `-(4)/(5)` and y-intercept = `(9)/(5)`
C. slope = `-(4)/(5)` and y-intercept = `-(9)/(5)`
D. slope = `(4)/(5)` and y-intercept = `9/5`

-4/5 is the slope and -9/5 is the y intercept

Step-by-step explanation:

4x+5y = -9

Subtract 4x from each side

4x-4x+5y =-4x -9

5y = -4x -9

Divide by 5

5y/5 = -4x/5 -9/5

y = -4/5 x -9/5

This is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

-4/5 is the slope and -9/5 is the y intercept

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