Slope Intercept Form

In this section, we learn how to write a linear equation in two variables in slope-intercept form, point-slope form, and standard form. We can easily algebraically manipulate a linear equation in two variables. We place the equation in different forms, as each form has a specific use. The first form is known as: slope-intercept form (y = mx + b). When a line is in this form, we know the slope (m) and y-intercept (0,b) from the equation. The next form is known as point-slope form. This form is used when we know one point on the line and the slope. Lastly, we look at the standard form of a line. The definition of this varies from textbook to textbook, but we generally see: ax + by = c: where a, b, and c are integers, a and b are not both 0, and a ≥ 0.