Answer
a) Please see the graph.
b) Yes, this point is on the line. This ordered pair means that, in 1993, the average tuition and fees was 1,764 dollars.
Work Step by Step
a)
$y=45x+1089$
Let $x=10$
$y=45x+1089$
$y=45*10+1089$
$y=450+1089$
$y=1539$
Let $x=15$
$y=45x+1089$
$y=45*15+1089$
$y=675+1089$
$y=1764$
Let $x=5$
$y=45x+1089$
$y=45*5+1089$
$y=225+1089$
$y=1314$
$(5,1314), (10,1539)$, and $(15,1764)$ are on the line