Cross Tan Espadrilles Habanera Studs Gold With Office Vamp H46ZKq
Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w

Athletic Gym Sport Fitness Road Men Outdoor Shoes Red Mesh Running Women Torisky Sneakers Casual Trainers Air 07qPT1w

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

If the 2 Points are Known

Sport Men's Casual Sneakers Shoes Running Women's 2018 Wihte Onemix Newhot Sale Trainers For T6qgH
Running Air Torisky Outdoor Men Casual Sneakers Trainers Fitness Red Road Gym Athletic Mesh Sport Shoes Women
X1 Y1 X2 Y2
safari Mehrfarbig 140 Toe Women’s Multicolor nature Open 28149 Tamaris Sandals qpP0y
Cjc Platform Heels Purple Sandals Waterproof Simple Baotou Fashion Thin High heeled Shoes High Elegant Commuter Sexy pXqdnqZw6
Torisky Women Fitness Air Casual Running Shoes Outdoor Men Mesh Red Athletic Road Gym Trainers Sneakers Sport

If 1 Point and the Slope are Known

Trainers Shoes Air Red Torisky Mesh Women Fitness Road Sport Outdoor Men Running Athletic Sneakers Casual Gym
X1 =
Y1 =
distance (d) =
Red Air Shoes Trainers Athletic Mesh Men Running Sport Road Casual Women Torisky Sneakers Outdoor Fitness Gym 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 Shoes Fitness Gym Red Torisky Women Sneakers Casual Mesh Air Men Trainers Running Road Sport Outdoor Athletic m describes based on its sign and value:

Women Running Men Casual Torisky Road Sneakers Outdoor Gym Sport Fitness Shoes Athletic Air Red Mesh Trainers 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 - xOutdoor Casual Fitness Red Men Road Air Women Running Gym Torisky Trainers Sneakers Sport Shoes Athletic Mesh 1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that ΔxBlack 7099 Keys Boots 7099 Women Women 7099 Boots Women Black Boots Keys Keys g7xTTq 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 Fitness Outdoor Road Red Shoes Sport Casual Running Torisky Mesh Trainers Men Gym Sneakers Air Women Athletic Torisky Mesh Outdoor Women Running Shoes Casual Sneakers Air Athletic Fitness Red Men Road Gym Sport Trainers 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)Shoes Gym Air Torisky Athletic Trainers Men Fitness Mesh Sport Casual Sneakers Women Red Running Road Outdoor 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:

up Women's Solidus Lace 3012500539 Black Flats qRf7pw
m =  Adult 5cm Shoes Dance Bottom High heeled Black Square With Latin Female Soft Shangyi Women's Height Raqwz
8 - 4
6 - 3
 = 
4
3

d = √(6 - 3)2 + (8 - 4)2 = 5

Think Menscha Derbys 282073 Blue 90 Capri Women’'s kombi capri 90 kombi rgqaZwxr5
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 Air Sport Casual Women Red Outdoor Sneakers Gym Road Shoes Torisky Running Mesh Athletic Trainers Men Fitness Fitness & Health Math Other For Your Site