How do you find the slope and intercept of $2 x + 3 y = 6$ $2x + 3y = 6$ ?

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How do you find the slope and intercept of $2 x + 3 y = 6$ $2x + 3y = 6$ ?

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Answer 1 · 2018-05-20T07:06:11

$slope = - \frac{2}{3}, y-intercept = 2$ $"slope "=-2/3," y-intercept "=2$

Explanation:

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

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

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$rearrange 2 x + 3 y = 6 into this form$ $"rearrange "2x+3y=6" into this form"$

$subtract 2 x from both sides$ $"subtract "2x" from both sides"$

$\Rightarrow 3 y = - 2 x + 6$ $rArr3y=-2x+6$

$divide all terms by 3$ $"divide all terms by 3"$

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

$with slope = - \frac{2}{3} and y-intercept = 2$ $"with slope "=-2/3" and y-intercept "=2$

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How do you find the slope and intercept of $2 x + 3 y = 6$ $2x + 3y = 6$ ?

1 Answer

Explanation:

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How do you find the slope and intercept of $2 x + 3 y = 6$ $2x + 3y = 6$ ?