Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
2/3 + 1/4 .....common denominator is 12
8/12 + 3/12 =
11/12 <==
Consecutive integers can be represented as x, x+1, x+2 and so on.
x+x+1+x+2+x+3+x+4=-65
5x+10=-65
5x=-75
x=-15
Final answer: -15, -14, -13, -12, -11