Through the point (- 2,1), the tangent of the tilt angle is half of the linear equation

The tangent value of inclination angle is half, that is k = 1 / 2
The linear equation is obtained from the point oblique formula: y = 1 / 2 * (x + 2) + 1,
That is y = x / 2 + 2

In the physical image, the slope k ≠ Tan α, unless the two coordinate axes represent the length and the unit distance is equal, the inclination tangent of the image is the slope. Why?

The slope is defined as the rate of change, which is the ratio of the change of the variable (generally △ y) to the change of the principal variable (generally △ x). The α in Tan α is an angle, which can be measured theoretically by a protractor. The value of Tan α is the ratio of the opposite side to the adjacent side in a right triangle

How to see the slope of the image below the T-axis in V-T image
Is the direction of acceleration related to the positive and negative of a

How to see the slope of the image below the T-axis in V-T image
Is the direction of acceleration related to the positive and negative of a
In V-T image, the slope of tangent line is acceleration;
How to see the slope of the image below the T-axis in V-T image
In the V-T image, the image is below the T axis
The slope of the image is positive when the inclination angle between the tangent upward direction and the positive direction of the T-axis is an acute angle;
The slope is negative when the angle between the upward direction of the tangent and the positive direction of the T-axis is obtuse;
When the inclination angle between the tangent upward direction of the image and the positive direction of the T-axis is zero, the slope is 0;
The slope does not exist when the inclination angle of the tangential direction of the image is right angle to the positive direction of the T-axis
Is the direction of acceleration related to the positive and negative of a
The acceleration is along the tangent of the image,
It is related to the positive and negative of acceleration a

What does the slope of V-T image mean in physics? Let's be simple

k=V/t=a

Through the point (- 2,1), the tangent of the tilt angle is half of the linear equation