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

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Answer 1 · 2017-07-29T22:07:24

See a solution process below:

The slope-intercept form of a linear equation is: $y = m x + b$ $y = color(red)(m)x + color(blue)(b)$

Where $m$ $color(red)(m)$ is the slope and $b$ $color(blue)(b)$ is the y-intercept value.

We need to solve this equation for $y$ $y$ :

$y - 3 = 2 (x - 6)$ $y - 3 = color(red)(2)(x - 6)$

$y - 3 = (2 \times x) - (2 \times 6)$ $y - 3 = (color(red)(2) xx x) - (color(red)(2) xx 6)$

$y - 3 = 2 x - 12$ $y - 3 = 2x - 12$

$y - 3 + 3 = 2 x - 12 + 3$ $y - 3 + color(red)(3) = 2x - 12 + color(red)(3)$

$y - 0 = 2 x - 9$ $y - 0 = 2x - 9$

$y = 2 x - 9$ $y = color(red)(2)x - color(blue)(9)$

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