To calculate the grade of a slope, represented by the lowercase letter M, divide the rise, expressed as Y, by the run, expressed as X, then multiply by 100. The grade of a slope is most commonly expressed as a percentage.
To ensure correct calculations, first convert all variables to the same units of measurement, or like terms. For example, if the altitude is enumerated in feet and the distance in miles, convert the distance to feet.
Real-world instances of professions that utilize slope calculations include roofers, carpenters and transportation planners. Grades of slopes are also posted on road signs in mountainous regions to warn motorists of steep inclines and declines.