The equation of a line in general form is expressed as:

$Ax + By + C = 0$

Where:

• $A$, $B$, and $C$ are constants, and $A$ and $B$ are not both zero.
• $x$ and $y$ represent the variables (coordinates of points on the line).

Notes:

• This form is derived from the slope-intercept form ($y = mx + b$) or the point-slope form of a line.
• The general form allows for a more flexible representation and is particularly useful in analytic geometry for working with vertical lines and implicit line equations.

Would you like further clarification or any specific example?

Related Questions:

1. How can you convert a slope-intercept form to general form?
2. What are the advantages of using the general form of a line equation?
3. How can you determine the slope from the general form equation?
4. How can the distance from a point to a line be calculated using the general form?
5. Can you explain the significance of $A$, $B$, and $C$ in the general form equation?

Tip:

To convert the slope-intercept form ($y = mx + b$) into general form, rearrange all terms to one side of the equation to set it equal to zero.