When you have a line with a slope of m, a line that is perpendicular to it will have a slope that is the negative reciprocal of m. This means that if you multiply the slopes of the two lines together, you will get -1.
To find the slope of the perpendicular line, you can use the formula:
Perpendicular Slope = -1/m
For example, if the slope m is 2, then the slope of the perpendicular line would be -1/2. Conversely, if the slope m is -3, the slope of the perpendicular line would be 1/3. This relationship is crucial in geometry and helps in understanding how lines interact in a plane.