Find an equation for the line perpendicular to y= -4/3x+5 with​ y-intercept (0,-12). Write the answer in​ slope-intercept form

y=3/4x−12.

Step-by-step explanation:

Slope of the perpendicular line is negative inverse: m=34.

The equation of the perpendicular line is y=3x4+a.

To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.

a=−12.

Therefore, the equation of the line is y=3x4−12.

If this helps you, please give bainliest!

(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

step-by-step explanation:

no solution.