# How do you write y-2=4(x-3) in slope intercept form?

Jan 12, 2017

See the process for answer this question 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 color(blue)(b is the y-intercept value.

Therefore, in order to transform this equation from point-slope form to slope-intercept form we must solve for $y$:

$y - 2 = \left(4 \times x\right) - \left(4 \times 3\right)$

$y - 2 = 4 x - 12$

$y - 2 + \textcolor{red}{2} = 4 x - 12 + \textcolor{red}{2}$

$y - 0 = 4 x - 10$

$y = 4 x - 10$

$y = \textcolor{red}{4} x + \textcolor{b l u e}{10}$