How do you write y+4=3(3x+3) in slope intercept form?

Feb 3, 2017

$y = \textcolor{red}{9} x + \textcolor{b l u e}{5}$

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.

Solving for $y$ gives:

$y + 4 = \left(3 \times 3 x\right) + \left(3 \times 3\right)$

$y + 4 = 9 x + 9$

$y + 4 - \textcolor{red}{4} = 9 x + 9 - \textcolor{red}{4}$

$y + 0 = 9 x + 5$

$y = 9 x + 5$