Which equations are equivalent to y=2/3x-4 when written in slope-intercept form? check all that apply. a =3x-2y=4. b=2x-3y=12. c-4(2x-3y)=-4(12). d=2(x+6)=3y. e=2x-3y=4

The slope-intercept form: y = mx + b.

The standard form: Ax + By = C.

We have:

      multiply both sides by 3

    subtract 2x from both sides

      change the signs

     multiply both sides by (-4)

A. 3x - 2y = 4   - NOT

D. 2(x + 6) = 3y → 2x + 12 = 3y → 2x - 3y = -12      - NOT

E. 2x - 3y = 4    - NOT

B  2X-3Y=12

C -4(2X-3Y)=-4(12)

Step-by-step explanation:

y = 2/3 x -4

multiply by 3

3y = 2x -12   factor out a 2    3y = 2(x-6)

subtract 2x from each side

-2x+3y = -12

multiply by -1

2x-3y = 12

multiply by -4

-4(2x-3y) = -4(12)

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(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