Linear slope formula: k=(y2-y 1)/(x2-x 1)

The product of slopes of two vertically intersecting lines is-1:k1* k2 =-1.

The slope of curve y=f(x) at point (x 1, f(x 1)) is the derivative of function f(x) at point x 1.

When the slope of the straight line L exists, the inclined section y=kx+b When k=0, y = b；; When the slope of the straight line L exists, the point inclination angle y2-y1= k (x2-x1); When the straight line L has a non-zero intercept on two coordinate axes, there is an intercept formula X/A+Y/B =1; For any point on any function, its slope is equal to the included angle between its tangent and the positive direction of X axis, that is, tanα.

Extended data:

Judging from the tangent of the inclination angle; There is also the angle between the vector in the upward direction of the straight line and the unit vector in the X axis direction. Finally, the concept of slope is re-recognized from the perspective of derivative. Slope is actually the instantaneous rate of change of a straight line.

Understanding the concept of slope not only plays an important role in future study, but also helps to learn some important mathematical problem solving methods in the future.

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