How do you write the equation in slope intercept form given $6 x - 2 y = 12$ $6x - 2y = 12$ ?

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How do you write the equation in slope intercept form given $6 x - 2 y = 12$ $6x - 2y = 12$ ?

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Answer 1 · 2016-02-22T12:03:00

Equation in slope intercept form is $y = 3 x - 6$ $y=3x-6$ .

Explanation:

Slope intercept form of a linear equation is $y = m x + c$ $y=mx+c$ , where $m$ $m$ is the slope of the line and $c$ $c$ is intercept on $y$ $y$ axis.

For converting the linear equation $6 x - 2 y = 12$ $6x−2y=12$ in slope intercept form, we have to transpose terms to get te value of $y$ $y$ .

Hence, we transpose term containing $x$ $x$ to RHS, which makes it

$- 2 y = - 6 x + 12$ $-2y=-6x+12$ and for getting value of $y$ $y$ , let us divide both sides by $- 2$ $-2$ and equation becomes

$y = \frac{- 6}{- 2} x + \frac{12}{- 2}$ $y=(-6)/(-2)x+12/(-2)$ or $y = 3 x - 6$ $y=3x-6$

Hence equation in slope intercept form is $y = 3 x - 6$ $y=3x-6$ .

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How do you write the equation in slope intercept form given $6 x - 2 y = 12$ $6x - 2y = 12$ ?

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How do you write the equation in slope intercept form given $6 x - 2 y = 12$ $6x - 2y = 12$ ?