# How do you write y+\frac{3}{5}=\frac{2}{3}(x-2)  in standard form?

Oct 26, 2014

$y + \frac{3}{5} = \frac{2}{3} \left(x - 2\right)$

by multiplying by $15$,
(Note: $15$ is the least common multiple of the denominators $5$ and $3$.)

$R i g h t a r r o w 15 y + 9 = 10 \left(x - 2\right)$

by distributing $10$ to $x$ and $- 2$,

$R i g h t a r r o w 15 y + 9 = 10 x - 20$

by subtracting $10 x$ and $9$,

$R i g h t a r r o w - 10 x + 15 y = - 29$

by multiplying by $\left(- 1\right)$,
(Note: This step is optional since the above is already in standard form.)

$R i g h t a r r o w 10 x - 15 y = 29$,

which is in standard form.

I hope that this was helpful.