Answer
a) $(0, 2130)$ and $(7,1850)$
b) $y=-40x+2130$
c) 1730 thousand barrels
Work Step by Step
a)
$2000-2000 = 0$
$2007-2000 = 7$
2000 had 2130 thousand barrels
2007 had 1850 thousand barrels
b)
$m=(2130-1850)/(0-7)$
$m = 280 / -7$
$m=-40$
$y=mx+b$
$2130 = -40*0+b$
$2130 = 0+b$
$2130 = b$
$y=-40x+2130$
c)
$y=-40x+2130$
$2010-2000 = 10$
$y=-40x+2130$
$y=-40*10+2130$
$y= -400 + 2130$
$y=1730$