A straight line with an inclination other than 90 is called the slope of this straight line. The slope of a straight line is often expressed by k, which is also called "angle coefficient", indicating the inclination of the straight line relative to the horizontal axis.
Tilt angle is the concept of mathematics, which is a general means for human beings to strictly describe abstract structures and patterns of things, and can be applied to any problems in the real world. All mathematical objects are artificially defined in essence. Slope, also known as "angle coefficient", indicates the inclination of a straight line with respect to the horizontal axis.
The tangent value of the angle between a straight line and the horizontal axis and the semi-axis direction of the plane rectangular coordinate system is the slope of the straight line relative to the coordinate system. If the straight line is perpendicular to the X axis, then the tangent of the right angle is infinite, so the straight line has no slope. When the slope of the straight line L exists, for the linear function y=kx+b (oblique section), k is the slope of the function image (straight line).
How is the inclination angle of a straight line generated?
When the absolute value of the slope of the straight line is greater, it means that the inclination of the straight line relative to the horizontal axis is greater, that is, the included angle (acute angle) between the straight line and the horizontal axis is greater; When the absolute value of the slope of a straight line is smaller, it means that the inclination of the straight line relative to the horizontal axis is smaller, that is, the included angle (acute angle) between the straight line and the horizontal axis is smaller.
Then there are symbols. The slope of a straight line is symbolic, which can also be said to be its direction. The slope of the straight line is positive when it passes through the first and third quadrants, and negative when it passes through the second and fourth image limits. Therefore, when analyzing the inclination of a straight line relative to the horizontal axis, that is, the included angle between the straight line and the horizontal axis, the absolute value of the slope of the straight line and the acute angle in the included angle must prevail.
Otherwise, there may be problems. For example, the greater the slope, the greater the angle between the straight line and the horizontal axis, which is obviously wrong. Because when the slope is negative, the angle between the straight line and the horizontal axis is negative on the right side of the straight line.