What is the first step to writing an equation in slope-intercept form using the given points: (-3, 1), (-4, -2)? what is the rate of change
a) find the slope using the slope formula y = mx + b; m = -3
b) find the slope using the slope formula
y2 - y1
x2 - x1
; m = 3
c) find the slope using the slope formula
y2 - y1
x2 - x1
; m = -3
d) find the slope using the slope formula y = mx + b; m = 3

Option B.

The first  step is find the slope using the formula  

The rate of change is m=3

Step-by-step explanation:

we know that

The equation of a line in slope intercept form is equal to

where

m is the slope

is the y-intercept

so

The firs step is determine the slope of the linear equation

The formula to calculate the slope between two points is equal to

we have

(-3,1) and (-4,-2)

substitute the given values in the formula

Remember that

In a linear equation the rate of change is a constant and is equal to the slope of the line

so

The rate of change is 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

step-by-step explanation: