Which of the following is the point and slope of the equation y - 15 = -2(x + 1)?

(-1, 15), -2

(-1, 15), 2

(1, 15), -2

(-1, -15), -2

The first option is the point-slope form for the given point.

Step-by-step explanation:

Step 1:

As we need to calculate the slope, m and coordinate we use the point-slope form to find m and the coordinate.

The point-slope form is ,

the given equation is .

Step 2:

By comparing both the equations, we determine the values of and m.

, so the y coordinate is 15.

, the x coordinate is; , so the x coordinate is -1.

By comparing, we get m = -2.

So the slope is m = -2 and the coordinates of the point is (-1, 15) which is the first option.

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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