Glossary for Lesson 7: Forms of the Equation of a Line

Point-Slope Form for the Equation of a Line

If a line passes through the point (x_1,y_1) and has a slope of m, then we can write the equation for this line in point-slope form as follows: y-y_1=m(x-x_1)

General Form for the Equation of a Line

The general form for the equation of a line can be written as follows: Ax+By=C, where A, B, and C are constants (usually integers) and A and B are not both zero.  Although the equation of a vertical line cannot be written in either slope-intercept form or point-slope form, it can be written in general form.  Some sources write the general form instead as Ax+By+C=0