Students will learn that a line cannot be uniquely determined by its slope, nor by a single point on the line. Slope-intercept and point-slope form both specify a line by specifying a point and a slope. In the case of slope-intercept form, the point is \((0, b).\) The two point form specifies a line by specifying two points, instead of a slope and single point. This is adequate, as any two distinct points specify a unique line. After students learn this, they'll learn what two point form is. They'll also learn why two point form cannot describe vertical lines. Here's an excellent video on all that. Finally, students will learn how to find the \(x\) and \(y\)-intercepts of lines in two point form. To find the \(x\)-intercept, they'll set \(y\) equal to \(0,\) then solve for \(x.\) Similarly, to find the \(y\)-intercept, they'll set \(x\) equal to \(0,\) then solve for \(y.\)