A line passes through (2, -1) and (8, 4).Write an equation for the line in point-slope form. Rewrite the equation in slope-intercept form.

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Step-by-step explanation:

1.Find Slope

2 is x1, 8 is x2, (-1) is y1, 4 is y2

y2 - y1

x2 - x1

4-(-1)    = 5

8-2         6

2. Point- slope form:

y - y1 = m (x - x1)

y - (-1) = (5/6) (x - 2)

in the end

y= 5/6x - 8/3

this is the slope intercept form y=mx +/- b

(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

idk

step-by-step explanation: