Answer
a. See attached picture
b. They have the same slope
c. $y=\frac{875}{4}x$
d. $(-\infty, +\infty)$
e. See attached picture
f. $m=\frac{875}{4}$
Work Step by Step
a. See attached picture
b. $(8, 1750), (16,3500), (32,7000),$ and $(64, 14000)$
At point $(8, 1750)$ and $(16,3500)$ $m=\frac{3500-1750}{16-8}=\frac{875}{4}$
At point $(16,3500)$ and $(32,7000)$ $m=\frac{7000-3500}{32-16}=\frac{875}{4}$
At point $(32,7000)$ and $(64,14000)$ $m=\frac{14000-7000}{64-32}=\frac{875}{4}$
c. $y-y_1=m(x-x_1)$
$\enspace$ $y-1750=\frac{875}{4}(x-8)$
$\enspace$ $y=\frac{875}{4}x$
d. The domain of a function is the set of input or argument values for which the function is real and defined. The function has no undefined points nor domain constraints. Therefore, the domain $-\infty \lt x \lt \infty$
e. See attached picture
f. From $(b)$, $m=\frac{875}{4}$
