Answer
$m=-2$
Refer to the graph below.
Work Step by Step
The slope of the line can be determined by the equation:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
where $(x_1, y_1)$ and $(x_2, y_2)$ are two given points on the line.
Here, we can substitute in the coordinates of the points $(4,2)$ and $(3,4)$ to obtain:
$m=\dfrac{4-2}{3-4}=\dfrac{2}{-1}=-2$
Plot the points and connect then using a line.