Determine the slope and y-intercept of a line that passes through the points (-2, 6) and (4, -3).

Step-by-step explanation:

Step 1 - Calculate slope first via the equation:

Where x1 and y1 are the coordinates of the first set whereas x2 and y2 are the second set. Plug the variables in:

Which simplifies to:

Now, in the line equation form we know x:

y = mx + c

y = x + c

Step 2 - Calculate y intercept

Plug the variables of one point into the above equation:

y = x + c

Meaning that the full line equation is:

Hope this helps!

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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