Which is the graph of the linear equation 3x - 4y = -12

the graph that goes through the points

(0,3), (-4,0)

Step-by-step explanation:

make y the subject

3x-4y=-12

4y=3x+12

y=(3x+12)/4

now when x=0

y=12/4=3

so coordinates (0,3)

now when y=0

0=(3x+12)/4

by multplying both sides by 4

0=3x+12

0=3 (x+4)

divide both sides by 3

0=x+4

x=-4

so coordinates (-4,0)

333333333333333333333333333333

step-by-step explanation:

(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