How do you write the equation y-1=-7(x-3) in slope intercept form?

Feb 26, 2017

$y = \textcolor{red}{- 7} x + \textcolor{b l u e}{22}$

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 solve for $y$ as follows:

$y - 1 = - 7 \left(x - 3\right)$

$y - 1 = \left(- 7 \times x\right) - \left(- 7 \times 3\right)$

$y - 1 = - 7 x - \left(- 21\right)$

$y - 1 = - 7 x + 21$

$y - 1 + \textcolor{red}{1} = - 7 x + 21 + \textcolor{red}{1}$

$y - 0 = - 7 x + 22$

$y = \textcolor{red}{- 7} x + \textcolor{b l u e}{22}$