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:
We can pretty easily translate an equation from slope intercept form into standard form. Let's look at an example.
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.
Now, let's look at an example that contains more than one fraction with different denominators.
If you find that you need more examples or more practice problems, check out the Algebra Class E-course. You'll find additional examples on video, lots of practice problems with detailed solutions and little "tips" to help you through!
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.
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