Write the slope-intercept inequality for the graph below.
(-2,3) (1,-6)

y<=-3x-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=-6-3/1-2

m=-3

y-y1=m(x-x1)

y-3=-3(x-(-2))

y-3=-3x-6

y=-3x-6+3

y=-3x-3

we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x-3

(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