Writing Equations in Standard Form



We know that equations can be written in slope intercept form or standard form.

Let's quickly revisit standard form. Remember standard form is written:

Ax +By= C

We can pretty easily translate an equation from slope intercept form into standard form. Let's look at an example.



Example 1

standard form



That was a pretty easy example. We just need to remember that our lead coefficient must be POSITIVE!

Let's take a look at another example that involves fractions! There is one other rule that we must abide by when writing equations in standard form.


Equations that are written in standard form: Ax +By = C

CANNOT contain fractions or decimals! A, B, and C MUST be integers!



Let's take a look at an example!



Example 2

standard form equations



Now, let's look at an example that contains more than one fraction with different denominators!



Example 3

writing in standard form



Slope intercept form is the more popular of the two forms for writing equations. However, you must be able to rewrite equations in both forms.

For standard form equations, just remember that the A, B, and C must be integers and A cannot be negative!




Ready to try a few on your own?




Practice Problems


Rewrite the following equations in standard form:

1. y = -2x - 3


2. y = 1/3x +2


3. y = -2/3x + 3/4





Answer Key


standard form solutions

standard form solutions



Great Job! You are now ready to move on to Word Problems & Writing Equations in Standard Form!

Writing Equations Unit


  • Writing Equations in Slope Intercept Form
  • Writing Equations in Standard Form    You Are Here!
  • Writing Equations in Standard Form from Word Problems.   The Next Lesson!
  • Writing Equations Given Slope and a Point
  • Writing Equations Given Two Points





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