# How do you write 6x-2y=9 into slope intercept form?

May 28, 2018

$y = 3 x - \frac{9}{2}$

#### Explanation:

We need to isolate the $y$ and write the equation in the following form:

$y = m x + q$

So, starting from $6 x - 2 y = 9$,

• subtract $6 x$ from both sides: $- 2 y = - 6 x + 9$
• divide both sides by $- 2$: $y = 3 x - \frac{9}{2}$

And there you have it: $y = 3 x - \frac{9}{2}$ is in slope-intercept form, with slope $m = 3$ and intercept $q = \frac{9}{2}$

May 28, 2018

$y = 3 x - \frac{9}{2}$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{rearrange "6x-2y=9" into this form}$

$\text{subtract "6x" from both sides}$

$- 2 y = - 6 x + 9$

$\text{divide all terms by } - 2$

$y = 3 x - \frac{9}{2} \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$