# How do you write y-6=4/3(x-3) in standard form?

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

#### Explanation:

The given equation of line: $y - 6 = \frac{4}{3} \left(x - 3\right)$ can be rewritten in slope intercept form as follows

$y - 6 = \frac{4}{3} x - \frac{4}{3} \setminus \cdot 3$

$y = \frac{4}{3} x - 4 + 6$

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

Jul 9, 2018

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

#### Explanation:

We are essentially trying to get this equation into slope-intercept form, so the only thing we want on the left is a $y$.

In our example, we can start by distributing the $\frac{4}{3}$ on the right side to get

$y - 6 = \frac{4}{3} x - 4$

Next, let's add $6$ to both sides to get

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

Now, our equation is in slope-intercept form, $y = m x + b$.

Hope this helps!