To find the slope of a line that is perpendicular to another line, we need to use the relationship between the slopes of perpendicular lines. If two lines are perpendicular, the product of their slopes is -1.
The given slope is 27. Let’s denote the slope of the perpendicular line as m. According to the formula:
m * 27 = -1
To find m, we need to solve for it:
m = -1 / 27
Therefore, the slope of the line that is perpendicular to the line whose slope is 27 is -1/27.