The functions $p$ and $r$ are defined by the equations shown, where $a$ and $b$ are integer constants such that $a<b$ and $b<0$. If $y=p\left(x\right)$ and $y=r\left(x\right)$ are graphed in the xy-plane, which of the following equations displays, as a constant or coefficient, the y-coordinate of the y-intercept of the graph of the corresponding function?

1. $p\left(x\right)=a{\left(4.1\right)}^x+b$
2. $r\left(x\right)=a{\left(4.1\right)}^{x+b}$