Truncated equation

It is known that the straight line L intersects with two points A(a, 0), and B(0, b) first sets the equation of the straight line L as: y=kx+m, and substitutes it into the coordinates of A and B.

Substituting the values of k and m into the equation y=kx+m, we get:

Finally, it is converted into intercept equation:

The general formula is derived into the intercept formula Ax+By=-C, and the intercept formula Ax+By =-C is divided by -C to obtain:

Finally, it is converted into intercept equation:

Extended data:

1, the intercept of x is the value of x when y=0, and the intercept of y is the value of y when x=0. Intercept is the horizontal (vertical) coordinate of the intersection of a straight line and a coordinate axis.

2. the x intercept is a, the y intercept is b, and the intercept formula is: x/a+y/b= 1(a≠0, b≠0). Note: the slope cannot exist or equal to 0, because when the slope does not exist, the straight line is perpendicular to the X axis and there is no longitudinal intercept. When the slope is equal to 0, straight lines are parallel.

References:

Baidu encyclopedia-intercept equation