To diverge from the vertical or horizontal; incline: a roof that slopes. See Synonyms at slant. To move on a slant; ascend or descend: sloped down the trail. To cause to slope: sloped the path down the bank. An inclined line, surface, plane, position, or direction. A stretch of ground forming a natural or artificial incline: ski slopes. A deviation from the horizontal. The amount or degree of such deviation. Mathematics The rate at which an ordinate of a point of a line on a coordinate plane changes with respect to a change in the abscissa. Mathematics The tangent of the angle of inclination of a line, or the slope of the tangent line for a curve or surface. Offensive Slang Used as a disparaging term for a person of East Asian birth or descent.