How do you write $6 x - 2 y = 9$ $6x-2y=9$ into slope intercept form?

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How do you write $6 x - 2 y = 9$ $6x-2y=9$ into slope intercept form?

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Answer 1 · 2018-05-28T07:57:44

$y = 3 x - \frac{9}{2}$ $y = 3x - 9/2$

Explanation:

We need to isolate the $y$ $y$ and write the equation in the following form:

$y = m x + q$ $y=mx+q$

So, starting from $6 x - 2 y = 9$ $6x-2y=9$ ,

subtract $6 x$ $6x$ from both sides: $- 2 y = - 6 x + 9$ $-2y = -6x + 9$
divide both sides by $- 2$ $-2$ : $y = 3 x - \frac{9}{2}$ $y = 3x - 9/2$

And there you have it: $y = 3 x - \frac{9}{2}$ $y = 3x - 9/2$ is in slope-intercept form, with slope $m = 3$ $m = 3$ and intercept $q = \frac{9}{2}$ $q=9/2$

Answer 2 · 2018-05-28T08:02:38

$y = 3 x - \frac{9}{2}$ $y=3x-9/2$

Explanation:

$the equation of a line in slope-intercept form$ $"the equation of a line in "color(blue)"slope-intercept form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$rearrange 6 x - 2 y = 9 into this form$ $"rearrange "6x-2y=9" into this form"$

$subtract 6 x from both sides$ $"subtract "6x" from both sides"$

$- 2 y = - 6 x + 9$ $-2y=-6x+9$

$divide all terms by - 2$ $"divide all terms by "-2$

$y = 3 x - \frac{9}{2} \leftarrow in slope-intercept form$ $y=3x-9/2larrcolor(blue)"in slope-intercept form"$

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How do you write $6 x - 2 y = 9$ $6x-2y=9$ into slope intercept form?

2 Answers

Explanation:

Explanation:

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