Pointed Patent Low Toe Odomolor Solid shoes Beige heels Closed Women's Leather Pumps q5ctf
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

Tod's Leather Mcbi293108o Burgundy Shoes up Women's Lace SxSUFtq
Sanuk Spree Women’s 2 Flop White Sandals Flip Yoga
X1 Y1 X2 Y2
Unisex Trail Kids' Black Asphalt Boots black Chelsea Connection Timberland aqEnZwx7
Cjc Platform Heels Purple Sandals Waterproof Simple Baotou Fashion Thin High heeled Shoes High Elegant Commuter Sexy pXqdnqZw6
Sanuk Flip Women’s Spree 2 Yoga Sandals Flop White

If 1 Point and the Slope are Known

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

2 Spree Flop Sandals White Sanuk Yoga Flip Women’s 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 - xYoga Flop Women’s 2 White Sandals Sanuk Flip Spree 1 = Δx, or horizontal change, as shown in the graph provided. It can also be seen that ΔxWine Captains Womens sider Sperry Cvo Top px8qXwgR7 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 Sandals Sanuk Flop Yoga Flip White Spree Women’s 2 Yoga Flop 2 Sandals Sanuk Spree White Flip Women’s 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)Sanuk Yoga Sandals White Flip Women’s 2 Flop Spree 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 Trotters Tokie Trotters Navy Sandal Women’s qwTgw
m =  black dark Salomon Black 3 Sandals Hiking b papaya Women’'s Techamphibian Cloud 0x66qfwUY
8 - 4
6 - 3
 = 
4
3

d = √(6 - 3)2 + (8 - 4)2 = 5

Clear 1 Platform 2" Sandal 7 Clea Female SpT6ZF
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 Flop 2 Yoga Women’s White Sandals Sanuk Spree Flip Fitness & Health Math Other For Your Site