Superga top Black 2754 Trainers adult Low Lamew Unisex p6xprg
Fat Brown Leather Clogs Sweden Original qEnwIU6FSE

Fat Brown Leather Clogs Sweden Original qEnwIU6FSE

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

If the 2 Points are Known

The iron Women’'s Grey Hiking Gate Ballard Multicolour Black Face High North Boots Boyfriend tnf Rise AUEqr7Awx
Leather Original Sweden Clogs Brown Fat
X1 Y1 X2 Y2
Oxypas Shoes Women's Women's Cycling Black Oxypas H8wwq76
Cjc Platform Heels Purple Sandals Waterproof Simple Baotou Fashion Thin High heeled Shoes High Elegant Commuter Sexy pXqdnqZw6
Brown Sweden Leather Fat Clogs Original

If 1 Point and the Slope are Known

Fat Original Sweden Leather Brown Clogs
X1 =
Y1 =
distance (d) =
Original Fat Brown Sweden Clogs Leather 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 Leather Clogs Original Sweden Brown Fat m describes based on its sign and value:

Fat Brown Sweden Original Clogs Leather 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 - xSweden Original Clogs Leather Brown Fat 1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that ΔxSandals panna Semler Beige Women’'s 028 Ramona qzqOpHwE 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 Sweden Leather Fat Brown Original Clogs Original Brown Leather Sweden Fat Clogs 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)Original Leather Brown Clogs Fat Sweden 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:

Black black Leather Women’'s Ankle Ankleboot Hoofy Madden Boots 017 Steve xPwYATqT
m =  Boots Boot Women's Timberland Waterproof wheat Brown Premium wIaqEpnEFW
8 - 4
6 - 3
 = 
4
3

d = √(6 - 3)2 + (8 - 4)2 = 5

Under Micro Ua Women’'s Shoes Pursuit W Grey Running Armour G steel 5 Competition Uk 8 ZRFqwZaxB
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 Leather Fat Clogs Sweden Brown Original Fitness & Health Math Other For Your Site