How do you find the slope and intercept of $- 2 x + 3 y = 21$ $-2x+3y=21$ ?

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How do you find the slope and intercept of $- 2 x + 3 y = 21$ $-2x+3y=21$ ?

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Answer 1 · 2018-04-08T08:11:03

$slope = \frac{2}{3}, y-intercept = 7$ $"slope "=2/3," y-intercept "=7$

Explanation:

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

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

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

$rearrange - 2 x + 3 y = 21 into this form$ $"rearrange "-2x+3y=21" into this form"$

$add 2x to both sides$ $"add 2x to both sides"$

$cancel(-2x)cancel(+2x)+3y=2x+21$

$rArr3y=2x+21$

$"divide all terms by 3"$

$rArry=2/3x+7larrcolor(blue)"in slope-intercept form"$

$"with slope m "=2/3" and y-intercept "=7$

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How do you find the slope and intercept of $- 2 x + 3 y = 21$ $-2x+3y=21$ ?

1 Answer

Explanation:

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How do you find the slope and intercept of -2x+3y=21−2x+3y=21-2x+3y=21?

1 Answer

Explanation:

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How do you find the slope and intercept of $- 2 x + 3 y = 21$ $-2x+3y=21$ ?