#### Answer

slope = $-\frac{1}{2}$
The line through the points falls from left to right.

#### Work Step by Step

RECALL:
The slope of the line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
Solve for the slope of the line that passes through the two given points using the formula above to obtain:
$m=\dfrac{3-(-1)}{-6-2}=\dfrac{3+1}{-6+(-2)}=\dfrac{4}{-8}=-\dfrac{1}{2}$
A line with a negative slope falls from left to right.