A line with a slope of 0 is a horizontal line. This means that the y-coordinate remains constant for all values of x. Since the line passes through the point (-6, -14), the y-value is -14.
The equation of a horizontal line can be written in the form:
\[ y = b \]
where \(b\) is the y-coordinate of the line, which in this case is -14.
Thus, the equation of the line in slope-intercept form is:
\[ y = -14 \]