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`

In your equation 4x+5y=-9, you've got to but your equation in slope intercept form which is y=mx+b.

First we need to get the y by itself.

Subtract 4x from each side to get:

5y=-4x-9

Next we want to divide both sides by 5.

y=-4/5x-9/5

Your slope is m which in our case -4/5.

Then our y-intercept is b or -9/5.

Your answer would then be C. slope=-4/5 and y-intercept=-9/5.

Hope this helps ;)

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0