38
1) Considering that y=-38x +47 and line D is perpendicular, then we can write the slope of D as:
[tex]m_D=-\frac{1}{m_c}[/tex]The reciprocal and opposite of line C.
2) So the slope of D, is going to be
[tex]m_D=-\frac{1}{-38}=38[/tex]3) Hence, the answer is the slope of D is 38
