# How do you write the equation in slope intercept form y-3=2(x-6)?

Jul 29, 2017

See a solution process below:

#### Explanation:

The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

We need to solve this equation for $y$:

$y - 3 = \textcolor{red}{2} \left(x - 6\right)$

$y - 3 = \left(\textcolor{red}{2} \times x\right) - \left(\textcolor{red}{2} \times 6\right)$

$y - 3 = 2 x - 12$

$y - 3 + \textcolor{red}{3} = 2 x - 12 + \textcolor{red}{3}$

$y - 0 = 2 x - 9$

$y = \textcolor{red}{2} x - \textcolor{b l u e}{9}$