Algebra
# Linear Equations

$\overline{AB}$ passes through the origin $O=(0, 0)$ and the line segments $\overline{OA}$ and $\overline{OB}$ have equal lengths. Line segment $\overline{CD}$ also passes through the origin and the line segments $\overline{OC}$ and $\overline{OD}$ have equal lengths. If $A=(5, 22)$ and $C=( -5,2),$ what is the slope of the line passing through the two points $B$ and $D?$

Line segment