Answer:
There are many ways to describe a linear equation:
standard form: Ax + By = C, where x-intercept point is C/A and y-intercept point is C/B
point slope form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line
slope intercept form: y = mx + b, where m is the slope and b is the y-intercept
All of them can describe any linear equation, which is best depends on what data you have. For example if you have the interceptions with the axis, use the standard form; if you have any two points (x2, y2) and (x3, y3), compute the slope as: m = (y3 -y2)/(x3 - x2) and use the point slope form. And always you can transform one form into another one; continuing with the last example, if you have the point slope form, you can isolate y as: y = mx - mx1 + y1, to get the slope intercept form (b = - mx1 + y1).