#### Answer

slope = $\dfrac{3}{4}$
The line through the two points rises.

#### Work Step by Step

RECALL:
(1) The slope $m$ of a line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
(2) A line with a positive slope rises from left to right. A line with a negative slope falls from left to right.
(3) A line with a slope of 0 is horizontal. A line with an undefined slope is vertical.
Solve for the slope of the line using the formula in (1) above to obtain:
$m=\dfrac{10-7}{8-4}=\dfrac{3}{4}$
The slope is positive therefore the line through the given points rises.