Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 intransitive v. To diverge from the vertical or horizontal; incline: a roof that slopes. See Synonyms at slant.
 intransitive v. To move on a slant; ascend or descend: sloped down the trail.
 transitive v. To cause to slope: sloped the path down the bank.
 n. An inclined line, surface, plane, position, or direction.
 n. A stretch of ground forming a natural or artificial incline: ski slopes.
 n. A deviation from the horizontal.
 n. The amount or degree of such deviation.
 n. 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.
 n. Mathematics The tangent of the angle of inclination of a line, or the slope of the tangent line for a curve or surface.
 n. Offensive Slang Used as a disparaging term for a person of East Asian birth or descent.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. An area of ground that tends evenly upward or downward.
 n. The degree to which a surface tends upward or downward.
 n. The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.
 n. The slope of the line tangent to a curve at a given point.
 n. The angle a roof surface makes with the horizontal, expressed as a ratio of the units of vertical rise to the units of horizontal length (sometimes referred to as run). For English units of measurement, when dimensions are given in inches, slope may be expressed as a ratio of rise to run, such as 4:12 or an an angle.
 n. A person of Chinese or other East Asian descent.
 v. To tend steadily upward or downward.
 v. To try to move surreptitiously.
 v. To hold a rifle at a slope with forearm perpendicular to the body in front holding the butt, the rifle resting on the shoulder.
from the GNU version of the Collaborative International Dictionary of English
 n. An oblique direction; a line or direction including from a horizontal line or direction; also, sometimes, an inclination, as of one line or surface to another.
 n. Any ground whose surface forms an angle with the plane of the horizon.
 n. The part of a continent descending toward, and draining to, a particular ocean.
 adj. Sloping.
 adv. In a sloping manner.
 transitive v. To form with a slope; to give an oblique or slanting direction to; to direct obliquely; to incline; to slant
 intransitive v. To take an oblique direction; to be at an angle with the plane of the horizon; to incline.
 intransitive v. To depart; to disappear suddenly.
from The Century Dictionary and Cyclopedia
 Inclined or inclining from a horizontal direction; forming an angle with the plane of the horizon; slanting; aslant.
 n. An oblique direction; obliquity; slant; especially, a direction downward; as, a piece of timber having a slight slope.
 n. A declivity or acclivity; any ground whose surface forms an angle with the plane of the horizon.
 n. Specifically— In civil engineering, an inclined bank of earth on the sides of a cutting or an embankment. See grade, 2.
 n. In coalmining, an inclined passage driven in the bed of coal and open to the surface: a term rarely if ever used in metalmines, in which shafts that are not vertical are called inclines. See shaft and incline.
 n. In fort., the inclined surface of the interior, top, or exterior of a parapet or other portion of a work. See cut under parapet.
 n. In mathematics, the rate of change of a scalar function of a vector, relatively to that of the variable, in the direction in which this change is a maximum.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. the property possessed by a line or surface that departs from the horizontal
 n. an elevated geological formation
 v. be at an angle
Etymologies
Examples

For the path on the Candiarei side has been lately swept away by a torrent of snow and water from the Marmolata, and the whole mountain slope is here one mass of soft red mud, more slippery than ice, full of pits and fissures, and very difficult.

(And the latter is estimated as a function of the term slope, stock prices, credit spreads, bank lending conditions, oil prices, and the unemployment rate).

The probability is estimated as a function of the term slope of interest rates, stock prices, payroll employment, personal income, and industrial production.

The latter is estimated as a function of the term slope, stock prices, credit spreads, bank lending conditions, oil prices, and the unemployment rate.

The former probability is estimated as a function of the term slope of interest rates, stock prices, payroll employment, personal income, and industrial production.

Scrambling up and down muddy cliffs choked with bracken, Thorsen tossed me tips for reading the bluffs: a vertical stripe of alders all the same size conceals an avalanche scar; evergreen trees growing at strange angles are a bad sign; a flattened bench, or shelf, partway down a slope is a terrible place to put a house, because it was created by slide action.

I believe, too, that there are many analogies between the spoil of skiing, which I dearly love, and doing theoretical work in science  the challenge and sense of excitement when the slope is a little more difficult than one feels comfortable with, or the boredom if too easy, or the probable disaster if too difficult.

But this slope is not nearly as slippery as prescriptivists would have you believe.

He found one more clip of .45 ACP 230 gr hardball and decided to shoot it through the skyscreens but was now slightly elevated up a little slope from the bench.

He told me that most of this slope is due to better reporting, and not necessarily any underlying trend.
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