# How do you write the equation y-2=3(x-1) in slope intercept form?

Feb 11, 2017

$y = 3 x - 1$

#### 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.

First, we need to expand the parenthesis on the right:

$y - 2 = \left(3 \times x\right) - \left(3 \times 1\right)$

$y - 2 = 3 x - 3$

Now, add $\textcolor{red}{2}$ to each side of the equation to solve for $y$ while keeping the equation balanced:

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

$y - 0 = 3 x - 1$

$y = \textcolor{red}{3} x - \textcolor{b l u e}{1}$