To find the slope of a line that is perpendicular to another line, you can use the concept of negative reciprocals. The slope of a line is a measure of how steep it is, and lines that are perpendicular to each other have slopes that multiply together to give -1.
Given that the slope of the original line is 13, we can find the slope of the perpendicular line by taking the negative reciprocal of 13. This means we take the reciprocal (which is 1/13) and then change the sign.
Therefore, the slope of a line perpendicular to the line with a slope of 13 is:
Perpendicular Slope = -1 / 13
In conclusion, if a line has a slope of 13, then a line that is perpendicular to it will have a slope of -1/13.