I have the problem written out (in the picture below) but tell me if it is unclear and I will better explain it to you!
Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so, for x = 1 and 2
(4×3² - 4×3¹) / (2 - 1) = 36 - 12 = 24
for x = 3 and 4
(4×3⁴ - 4×3³) / (4 - 3) = 324 - 108 = 216
so the second rate is 216/24 = 9 times greater than the first rate.
X-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5
your answer would be the last answer choice