Answer
$\approx 0.25$.
Work Step by Step
The slope of a line, $m$, is the change in $y$ over the change in $x$. Therefore, the slope of the line that makes a $14^\circ$ angle with the positive $x$-axis is
$$
m=\frac{y}{x}
.$$
Also, a line that forms a $14^\circ$ angle with the positive $x$-axis forms a right triangle with the side opposite the angle equal to $y$ and the side adjacent to the angle equal to $x$. Using the trigonometric ratios of a right triangle, then
$$
\tan14^\circ=\frac{y}{x}
.$$
By the Transitive Property of Equality, then
$$
m=\tan14^\circ\approx0.25
.$$Hence, the slope of the line is approximately $0.25$.
