Answer
$\left\{\begin{array}{l}
\Delta x=-4.9\\
\Delta y=0
\end{array}\right., \qquad $distance = $4.9$
Work Step by Step
$A=(x_{1},y_{1})=(-3.2, \ -2)$
$B=(x_{2},y_{2})=(-8.1, \ -2)$
The increments in the coordinates are calculated as $\left\{\begin{array}{l}
\Delta x=x_{2}-x_{1}\\
\Delta y=y_{2}-y_{1}
\end{array}\right.$
$\left\{\begin{array}{l}
\Delta x=-8.1-(-3.2)=-4.9\\
\\
\Delta y=-2-(-2)=0
\end{array}\right.$
The distance formula: $\quad d=\sqrt{(\Delta x)^{2}+(\Delta y)^{2}}$
$d=\sqrt{(-4.9)^{2}+(0)^{2}}=\sqrt{(4.9)^{2}}=4.9$
