Point slope form is a way to write a from a point and a slope. It takes the form y = y1 + m(x - x1), where (x1, y1) respresents any point on the line, and m represents the slope of the line. The advantage of the point slope form is that it can be written mathematically from any point and slope. To convert a linear equation from point slope form to slope intercept form, the right side of the equation.