Answer
$slope=\frac{7}{4}$
Work Step by Step
Slope is defined as:
$\displaystyle slope=\frac{rise}{run}$
To find the slope of $BD$ (if they were connected), we need to find the rise and run from $B$ to $D$. From the graph, we see that:
$rise=-7$ units
$run=-4$ units
Thus:
$slope=\frac{-7}{-4}=\frac{7}{4}$