Find the slope of the line passing through the points (-2, -8) and (9,-8).
slope:

To get that answer, apply the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-8 - (-8))/(9 - (-2))

m = (-8 + 8)/(9 + 2)

m = 0/11

m = 0

Any line with slope 0 is completely horizontal.

As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

10

step-by-step explanation:

7+3=10