Final answer:
A line with a slope of 0 passing through (6, -11) is a horizontal line, and its equation is y = -11.
Step-by-step explanation:
The question is asking for the equation of a line that has a slope of 0 and passes through the point (6, -11). A line with a slope of 0 is a horizontal line. The slope (m) represents the rate of change of y with respect to x, so if m=0, the y-value does not change regardless of the value of x.
Since the line is horizontal, the y-coordinate will always be -11, the same value as the y-coordinate of the given point through which the line passes. The equation of such a line is simply y = -11.
Regarding the properties of a straight line's equation (y = mx + b), 'm' represents the slope, and 'b' represents the y-intercept. Since there is no rise or fall in a horizontal line, the slope 'm' is 0, and our given line crosses the y-axis at -11, which is the y-coordinate of the given point.