Consider the following points.

$(x_1,y_1)=(-8,9)$

$(x_2,y_2)=(1,-3)$

$(a)$ Find the distance between the points using the Distance Formula.

$d=\sqrt[\phantom{2}]{+(-3-9{)}^2}$

$=$

$(b)$ Find the distance between the points using integration.

$s={\displaystyle \underset{-8}{\overset{\phantom{}}{}}},[,]dx$

$=$