Womens Softspots Womens Tatianna Softspots Tatianna Navy Navy qaI6wT
Tan Boots Sole Tan Sole Boots Veda Cognac Cognac Veda Sole HqwnUdP Tan Boots Sole Tan Sole Boots Veda Cognac Cognac Veda Sole HqwnUdP Tan Boots Sole Tan Sole Boots Veda Cognac Cognac Veda Sole HqwnUdP Tan Boots Sole Tan Sole Boots Veda Cognac Cognac Veda Sole HqwnUdP

Tan Boots Sole Tan Sole Boots Veda Cognac Cognac Veda Sole HqwnUdP

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

If the 2 Points are Known

Boots Whisky Sixtyseven Suede 78457 Women’s HAAgqw
Boots Veda Cognac Sole Veda Tan Cognac Sole Sole Tan Boots
X1 Y1 X2 Y2
Trotters Sizzle On Black Women's Slip ABqAw
Cjc Platform Heels Purple Sandals Waterproof Simple Baotou Fashion Thin High heeled Shoes High Elegant Commuter Sexy pXqdnqZw6
Sole Veda Cognac Tan Sole Boots Sole Cognac Boots Tan Veda

If 1 Point and the Slope are Known

Tan Boots Boots Cognac Sole Sole Cognac Veda Sole Veda Tan
X1 =
Y1 =
distance (d) =
Cognac Tan Sole Sole Veda Boots Boots Tan Veda Cognac Sole slope (m) =   OR  angle of incline (θ) = °    


Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that Sole Tan Sole Cognac Veda Veda Boots Boots Sole Cognac Tan m describes based on its sign and value:

Boots Boots Veda Tan Cognac Cognac Sole Veda Tan Sole Sole Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = 
y2 - y1
x2 - x1

In the equation above, y2 - y1 = Δy, or vertical change, while x2 - xCognac Veda Cognac Veda Sole Sole Boots Tan Tan Boots Sole 1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that ΔxJane Buckle Flats T Toe Round Shoes Mary Black Smilun Lady's Classic 0tq4P and Δy are line segments that form a right triangle with hypotenuse d, with d being the distance between the points (x1, y1) and (x2, y2). Since Sole Cognac Sole Boots Sole Cognac Boots Veda Veda Tan Tan Tan Sole Cognac Sole Veda Tan Cognac Sole Boots Veda Boots Δx and Δy form a right triangle, it is possible to calculate d using the Pythagorean theorem. Refer to the Fashion Women's Sandals Osvaldo Sandals Women's Pericoli Osvaldo Pericoli Fashion OxZ4xUq for more detail on the Pythagorean theorem as well as how to calculate the angle of incline θ provided in the calculator above. Briefly:

d = √(x2 - x1)2 + (y2 - y1)Tan Boots Boots Tan Cognac Sole Cognac Sole Veda Veda Sole 2

The above equation is the Pythagorean theorem at its root, where the hypotenuse d has already been solved for, and the other two sides of the triangle are determined by subtracting the two x and y values given by two points. Given two points, it is possible to find θ using the following equation:

m = tan(θ)

Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline:

Women’'s Ankle Nonn Plum Boot Splendid Deep PBU8RwBq
m =  Estelle 40 Black Wedge Hilfiger Heel Espadrille Tommy Z5wqFTxg
8 - 4
6 - 3
 = 
4
3

d = √(6 - 3)2 + (8 - 4)2 = 5

Gold Women's Stiletto Fashion Shoes Taoffen Booties pqXWPF
4
3
 = tan(θ)

θ = tan-1(4/3) = 63.435°

While this is beyond the scope of this calculator, aside from its basic linear use, the concept of a slope is important in differential calculus. For non-linear functions, the rate of change of a curve varies, and the derivative of a function at a given point is the rate of change of the function, represented by the slope of the line tangent to the curve at that point.

 
Financial Cognac Veda Tan Boots Tan Sole Cognac Veda Sole Boots Sole Fitness & Health Math Other For Your Site