Final answer:
To find the equation of a line with slope 0 that passes through a given point, we set the equation as y = b and find the value of b using the given point.
Step-by-step explanation:
To find the equation of a line in slope-intercept form, we need the slope and a point that it passes through. In this case, we are given the slope of 0 and a point with coordinates (3, -6).
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
Since the slope is 0, the equation becomes y = 0x + b, which simplifies to y = b.
Now we need to find the value of b. Since the line passes through the point (3, -6), we substitute x = 3 and y = -6 into the equation y = b, giving -6 = b.
Therefore, the equation of the line with slope 0 that passes through the point (3, -6) is y = -6.