Equations of Lines in Different Forms
What are the different forms of equations of lines? Definitions and examples are presented.
The equations of lines are of the following forms:
1 - Slope intercept form
The slope intercept form is useful if the slope m and the y intercept (0, b) are known.
Example 1: The equation of a line with slope -2 and y intercept (0 , 3) is written as follows:
2 - Point Slope Form
The point slope form is useful if the slope m and a point (x1 , y1) through which the line passes are known.
Example 2: The equation of a line that passes through the point (5 , 7) and has slope - 3 may be written as follows:
3 - Equation of a Vertical Line
Example 3: The equation of a vertical line that passes through the point (-2 , -5) may be written as follows:
4 - Equation of a Horizontal Line
Example 4: The equation of a horizontal line that passes through the point (-2 , -5) may be written as follows:
5 - General Equation of a Line
Example 5: General equation of a line:
More References and Links to Line
Equation of a line. Tutorial on how to find the slopes and equations of lines.
Equations of Line Through Two Points And Parallel and Perpendicular.