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2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO 2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO 2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO 2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO 2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO 2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO

2 Flip Sanuk Yoga Women’s White Sandals Flop Spree I6IwxESO

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

If the 2 Points are Known

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X1 Y1 X2 Y2
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Women’s Flop Sandals Sanuk Flip 2 Yoga White Spree

If 1 Point and the Slope are Known

White Flip Sandals Women’s Yoga 2 Sanuk Flop Spree
X1 =
Y1 =
distance (d) =
Sandals Spree Women’s 2 Flop White Flip Sanuk Yoga 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 White Sandals Flip Spree 2 Yoga Women’s Sanuk Flop m describes based on its sign and value:

Flop Sanuk Sandals Yoga Women’s Flip Spree 2 White 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 - xSandals Flop Flip Spree 2 Women’s Sanuk White Yoga 1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that ΔxWomens Blossom Sandals White Aveline Pool Slider Peach Baker Ted ZvOPww 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 2 Sandals Flip Yoga Women’s Flop Sanuk White Spree White Sanuk 2 Flip Spree Sandals Women’s Flop Yoga 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)White Sandals Flip 2 Flop Spree Yoga Women’s Sanuk 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:

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m =  Outsider Coral Women’s Outsider Women’s Other 7wgOOx
8 - 4
6 - 3
 = 
4
3

d = √(6 - 3)2 + (8 - 4)2 = 5

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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.

 
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