# How do you change the given equation into slope-intercept form 5x – 2y = 10?

Jul 10, 2016

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

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

We require to rearrange 5x - 2y = 10 into this form

Subtract 5x from both sides

$\Rightarrow \cancel{5 x} - 2 y \cancel{- 5 x} = 10 - 5 x$

We now have : -2y = 10 - 5x

divide all terms on both sides by -2

$\Rightarrow \frac{\cancel{- 2} y}{\cancel{- 2}} = \frac{10}{- 2} - \frac{5}{- 2} x$

$\Rightarrow y = \frac{5}{2} x - 5 \text{ in slope-intercept form}$