In physics, the slope is a linear relationship between two variables, the slope is positive is a variable increases the other with a linear increase, the slope is negative is a variable increases the other with a linear decrease.

1, slope, math, geometry, is a line (or curve tangent) on the (horizontal) axis of the amount of inclination. It is usually expressed as the tangent of the angle between the line (or curve's tangent) and the (transverse) coordinate axis, or as the ratio of the difference between the vertical coordinates of two points to the difference between the horizontal coordinates.

2, rate, also known as the "angle coefficient", is a straight line for the tangent of the positive angle of the horizontal coordinate axis, reflecting the inclination of the line to the horizontal plane. A straight line and a plane right-angled coordinate system transverse coordinate axis in the direction of the tangent of the angle made by the direction of the half-axis that is the straight line relative to the slope of the coordinate system.

3, if the line and x-axis perpendicular to each other, the tangent of the right angle is tan90 °, so the line does not exist slope (you can also say that the slope of the line is infinity). When the slope of the line L exists, for the primary function y = kx + b (slope-intercept), k is the slope of the image of the function.

Extension

In compulsory education, students learn about the primary function, which is represented geometrically as a straight line, and the coefficient of the primary term is the slope of the line, except that it cannot be represented when the line is perpendicular to the x-axis. Although the term slope is not explicitly given, the idea actually permeates it.

At the high school level, problems related to straight lines are discussed in Compulsory I and Compulsory II, and some problems related to straight lines are mentioned in Elective I and Elective II. All of the above are related to the concept of slope, which is one of the most important mathematical concepts that students gradually accumulate.

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