# How do you write the equation in slope intercept form y+5=3/7(x-14)?

Aug 15, 2016

$y = \frac{3}{7} x - 11$

#### 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 this equation into this form.

The first step is to distribute the bracket.

$\Rightarrow y + 5 = \frac{3}{7} x - 6$

subtract 5 from both sides

$y \cancel{+ 5} \cancel{- 5} = \frac{3}{7} x - 6 - 5$

$\Rightarrow y = \frac{3}{7} x - 11 \text{ in slope-intercept form}$