Question

What is the average rate of change y - 3 = -12 (x + 4)​​

Answer 1

Answer:

$-\frac{3}{10}$

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

$=\frac{f(b)-f(a)}{b-a}$

$f(x)=\frac{3}{x-2}$

and $[a,b]=[4,7]$

$f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}$

$f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}$

The rate of change is

$=\frac{f(b)-f(a)}{b-a}$

$=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}$

$=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}$

Answer 2

Answer:

$- 12x$

Step-by-step explanation:

$y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45$

Thr answer is the slope.