Answer
Meilin's road: $-\frac{3}{35}$
Brianna's road: $-\frac{1}{20}$
Work Step by Step
Meilin:
Known points: $(0,1200)$ and $(14000, 0)$
$a = \frac{0 - 1200}{14000 - 0} = -\frac{1200}{14000} = -\frac 3 {35}$
Brianna:
Known points: $(0,500)$ and $(10000, 0)$
$a = \frac{0 - 500}{10000 - 0} = -\frac{500}{10000} = -\frac 1 {20}$