## Algebra: A Combined Approach (4th Edition)

$5$
Let $P=(x_{1},y_{1})=(-3,3)$ and $Q=(x_{2},y_{2})=(1,0)$ Finding the distance between P and Q, $d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ $d(P,Q)=\sqrt {(1-(-3))^{2}+(0-3)^{2}}$ $d(P,Q)=\sqrt {(1+3)^{2}+(-3)^{2}}$ $d(P,Q)=\sqrt {(4)^{2}+(-3)^{2}}$ $d(P,Q)=\sqrt {16+9}$ $d(P,Q)=\sqrt {25}=5$