# Question #6c2dd

##### 1 Answer

#### Explanation:

Standard form can be complex, so let's take it one step at a time.

Let's start out with the equation that's in

Since we don't want to have to deal with fractions later one, let's take care of them right now. We must find the least common denominator of both these fractions. In this case, it's

Because of this, we can multiply both the fractions by

Now simply distribute the

and

Don't forget, that whatever we do to an equation, has to be applied to EVERYTHING in it. Therefore we must multiply

When we create real numbers involving fractions, we multiply the denominator usually by the numerator then divide by the same denominator number. However, the common denominator in this case is

Now we have an equation without fractions in it, such as:

Standard form states that

Now our equation is in standard form, and is complete! Let's check though. Consolidate

Now we've got:

Since we can simplify both these fractions let's go ahead and do that as our check. The first fraction can be divided by

Now we can write it, once again, in slope-intercept form:

Does this check out? Yes! Therefore, our answer is correct.

Answer: Standard Form: