What is the slope of the linear function shown in the graph?

we can get the slope of any straight line by simply using two points.
let's see hmmmmmm this line passes through (0, 14) and hmmmm (7, 10).
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-14}{7-0}\implies \cfrac{-4}{7}[/tex]