The three ways to write a linear equation are as follows 1. Slope-intercept form: y = mx + b m is slope and b is y-intercept 2. Point slope form: y - y1 = m(x - x1) We need two points to derive this equation and slope m = (y2-y1) / (x2-x1) 3. Standard Form: Ax + By = C The constants A, B, C are constants and are whole numbers.