# >> K-12 >> K-12 Basics

How to Convert Linear Equations to Slope Intercept Form

Solving equations for lines and graphing lines are common tasks in algebra and calculus courses. The standard form for a linear equation is ax + by = c. The slope-intercept form of a line is y = mx + b. You may have to convert from a standard linear equation to a slope-intercept form if you must graph the line. You can convert between the two formulas by rearranging some of the terms of the equations.

Instructions

- 1
  Write down the equation. For example, you might have 6x + 3y = 9.
- 2
  Leave the "c" term (the number without a letter attached) where it is. In this example, the "c" term is 9.
- 3
  Move the "x" variable (and coefficient) to the right side of the equation and change the sign of this term as well. In this case, you would rewrite the equation as 3y = -6x + 9.
- 4
  Divide the equation by any existing coefficient of "y." In this example, the coefficient is 3. If you divide each term of the equation by 3, you will get y = -2x + 3. This is the slope-intercept form, in which the x coefficient, -2, is the slope of the line and the "3" is where the line intersects the y-axis.

How to Identify the Set as Finite or Infinite

Classification of Physical Education Games