What is the slope of the line that contains the points
(9, 0), (0, 5), and (18, -5)?

m = rise / run = 10/18 = 5/9

Step-by-step explanation:

As we move from the point (0, 5) to the point  (18, -5), x increases by 18 and y decreases by 10.  Thus, the slope, m, is m = rise / run = 10/18 = 5/9.

We could get the same result using the points (0, 5) and (18, -5).

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."

2

step-by-step explanation: