Chapter 2 Linear Equations and Functions - 2.2 Find Slope and Rate of Change - 2.2 Exercises - Problem Solving - Page 88: 4b

Yes.

By using the slope formula, the minimum slope of the roof is: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{3}{12}=\frac{1}{4}.$ The slope of the roof is $\frac{3}{8}$ and $\frac{3}{8}\gt\frac{1}{4}$, thus the roof satisfies the building code.