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.
Baidu encyclopedia-slope