Answer
a) $y=2/3x+79.6$
b) 86.27 people per square mile
Work Step by Step
a)
$2000-2000=0$
$2006-2000=6$
0 years after 2000 had 79.6 density
6 years after 2000 had 83.6 density
$m= (83.6-79.6)/(6-0)$
$m=4/6$
$m=2/3$
$y=mx+b$
$y=2/3*x+b$
$83.6 = 2/3*6 + b$
$83.6 = 4+b$
$79.6 = b$
$y=2/3x+79.6$
b)
$2010-2000=10$
$y=2/3x+79.6$
$y=2/3*10+79.6$
$y=6.67+79.6$
$y=86.27$