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In most circumstances the demand curve has a negative slope, and therefore slopes downwards. This is due to the law of demand which conditions that there is an inverse relationship between price and the demand of commodity (good or a service). As price goes up quantity demanded reduces and as price reduces quantity demanded increases.
A fall line refers to the line down a mountain or hill which is most directly downhill; that is, the direction a ball or other body would accelerate if it were free to move on the slope under gravity. Mathematically the fall line, the line of greatest slope, is the negative of the gradient (which points uphill) and perpendicular to the contour ...
l = slope length α = angle of inclination. The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero indicates horizontality. A larger number ...
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
The negative slope of the indifference curve incorporates the willingness of the consumer to make trade offs. [9] If two goods are perfect substitutes then the indifference curves will have a constant slope since the consumer would be willing to switch between at a fixed ratio. The marginal rate of substitution between perfect substitutes is ...
Notice that the points (2,1) and (2,3) are on opposite sides of the line and (,) evaluates to positive or negative. A line splits a plane into halves and the half-plane that has a negative (,) can be called the negative half-plane, and the other half can be called the positive half-plane. This observation is very important in the remainder of ...
[8] [9] Since both axes use logarithmic units, the slope of the linear section of the curve is called the gamma of the film. Negative film typically has a gamma less than 1; [9] [10] positive film (slide film, reversal film) typically has a gamma with absolute value greater than 1. [11]
A smooth simple closed curve, with a regular parameterization, is convex if and only if its curvature has a consistent sign: always non-negative, or always non-positive. [ 13 ] [ e ] Every smooth simple closed curve with strictly positive (or strictly negative) curvature is strictly convex, but some strictly convex curves can have points with ...