How do you write y = 4 3 x + 2 3 in standard form?

Question

How do you write       y    =          4      3        x    +          2      3       in standard form?

enreciarpv · Accepted Answer

The standard form of a linear equation is:
Ax+By=C
A can not be negative. A, B and C should all be integers.

The first thing we should do is move the x over to the left part of the equation. You can do this by substracting

\frac{4}{3} x

from both parts:

y - \frac{4}{3} x = \frac{4}{3} x + \frac{2}{3} - \frac{4}{3} x

y - \frac{4}{3} x = \frac{2}{3}

By reordering, you get:

- \frac{4}{3} x + y = \frac{2}{3}

Now we need to make sure that the number that's before the x (A) is positive. You can do this by multiplying both parts by −1:

- 1 \cdot (- \frac{4}{3} x + y) = - 1 \cdot \frac{2}{3}

\frac{4}{3} x - y = - \frac{2}{3}

Now, all we need to do is make A, B and C integers. You can always do this by multiplying by the LCM of all the denominators (3, 1 and 3). This LCM is 3:

3 \cdot (\frac{4}{3} x - y) = 3 \cdot (- \frac{2}{3})

4x−3y=−2

How do you write y=4/3x+2/3 in standard form?

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