Answer
a. See attached picture
b. They have the same slope
c. $y=-\frac{3}{5}x+12$
d. $(-\infty, +\infty)$
e. See attached picture
f. From $(b)$, $m=-\frac{3}{5}$
g. $x$ intercept: $(20,0)$
$\enspace$ $y$ intercept: $(0,12)$
Work Step by Step
a. See attached picture
b. $(20,0), (15,3), (10,6),$ and $(5,9)$
At point $(20,0)$ and $(15,3)$ $m=\frac{3-0}{15-20}=-\frac{3}{5}$
At point $(15,3)$ and $(10,6)$ $m=\frac{6-3}{10-15}=-\frac{3}{5}$
At point $(10,6)$ and $(5,9)$ $m=\frac{9-6}{5-10}=-\frac{3}{5}$
c. $y-y_1=m(x-x_1)$
$\enspace$ $y-0=-\frac{3}{5}(x-20)$
$\enspace$ $y=-\frac{3}{5}x+12$
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 $−∞
