The slope of the tangent line to the curve y=4x\displaystyle {y}={\frac{{{4}}}{{{x}}}} at the point (7,47)\displaystyle {\left({7},\frac{{4}}{{7}}\right)} is:
 

The equation of this tangent line can be written in the form y=mx+b\displaystyle {y}={m}{x}+{b} where:
m\displaystyle {m} is:  
b\displaystyle {b} is: