spoint slope form: Formula, Graphing & Conversions Point slope form is the equation format to use when you know a line’s slope and one point that lies on it. Its standard form is: y−𝑦1=m(x−x1)y-y1=m(x-x1)y−y1​=m(x−x1​) The value mm is the slope, and (x1,y1)(x1,y1)(x1​,y1​) is the known point. From there, you can leave the equation in point-slope form, graph the line, test whether a point fits it, or rewrite it in another linear-equation form. The Idea Behind the Formula A straight line changes at a constant rate. Point-slope form captures that rate by comparing an unknown point on the line with a point you already know. In the equation y−y1=m(x−x1),y-y1=m(x-x1),y−y1​=m(x−x1​), the expression…