# What is the slope-intercept form of 10x - 5y = -2 ?

Aug 2, 2018

$y = 2 x + \frac{2}{5}$

#### Explanation:

$10 x - 5 y = - 2$

We know that slope-intercept form is:

To make the equation in this form, find $y$ by itself.

Subtract $\textcolor{b l u e}{10 x}$ from both sides:

$10 x - 5 y \quad \textcolor{b l u e}{- \quad 10 x} = - 2 \quad \textcolor{b l u e}{- \quad 10 x}$

$- 5 y = - 2 - 10 x$

Divide both sides by $\textcolor{b l u e}{- 5}$:
$\frac{- 5 y}{\textcolor{b l u e}{- 5}} = \frac{- 2 - 10 x}{\textcolor{b l u e}{- 5}}$

$y = \frac{2}{5} + 2 x$

$y = 2 x + \frac{2}{5}$

As you can see, this matches the slope-intercept form in the image.

Hope this helps!

Aug 2, 2018

$y = 2 x + \frac{2}{5}$

#### Explanation:

Recall the equation of a line in slope-intercept form

$y = m x + b$, with slope $m$ and a $y$-intercept of $b$.

We essentially just want a $y$ on the left. Let's start by subtracting $10 x$ from both sides to get

$- 5 y = - 10 x - 2$

Lastly, we can divide both sides by $- 5$ to get

$y = 2 x + \frac{2}{5}$

Now, our equation is in slope-intercept form, with slope $2$ and a $y$-intercept of $\frac{2}{5}$.

Hope this helps!