What is the slope of the line below? (-1,5)
(2, -1)
A. positive
B. undefined
C. Zero
D. negative

D. Negative.

Step-by-step explanation:

In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:

y-y₁=m(x-x₁)

Plug in your information and solve.

-1 - 5 = m (2 - (-1))

-6 = m (3)

-6 = 3m

m = -6 / 3

m = -2

(m = slope)

Also, when shown on the graph =

If the slope is going:

up from left to right: it's positive

down from left to right: it's negative

straight up and down (vertical): it's undefined

straight left to right (horizontal): it's zero.

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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