#### Answer

slope = $-1$
The line that passes through the given points falls.

#### Work Step by Step

RECALL:
(1) The slope $m$ of a line can be found using the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$.
(2) A line with a positive slope means the line rises from left to right. A negative slope means the line falls from left to right.
(3) A zero slope means the line is horizontal. An undefined slope means the line is vertical.
Solve for the slope using the formula in (1) to obtain:
$m=\dfrac{-2-(-4)}{4-6}=\dfrac{-2+4}{-2} = \dfrac{2}{-2}=-1$
The slope is negative, so the line falls.