Answer
$2$
Work Step by Step
To find the slope of the line passing through $(1,5)$ and $(4,11)$,
we use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.
Plug in the given values of $x$ and $y$: $m=\frac{11-5}{4-1}$.
Simplify to arrive at the answer: $m=\frac{6}{3}=2$.