What is the slope of $2 x - 3 y = 12$ $2x-3y=12$ ?

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What is the slope of $2 x - 3 y = 12$ $2x-3y=12$ ?

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Answer 1 · 2016-04-16T15:48:10

$\frac{2}{3}$ $2/3$

Explanation:

Turn the standard form of this equation into the slope-intercept form: $y = m x + b$ $y = mx + b$ . Remember that $m$ $m$ is the slope and $b$ $b$ is the y-intercept. We are trying to find for $m$ $m$ for this problem.

Bring 2x to the other side of the equal sign by subtracting it from both sides.
$2 x - 2 x - 3 y = 12 - 2 x$ $2x - 2x - 3y = 12 - 2x$

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

Make sure that the coefficient of -3 gets out from $y$ $y$ to have $y$ $y$ remain isolated. To do so, divide -3 by all of the terms in the equation.
$\frac{- 3 y = 12 - 2 x}{- 3}$ $(-3y = 12 - 2x)/-3$

$y = - 4 + \frac{2}{3} x$ $y = -4 + 2/3x$

Since $m$ $m$ is always the coefficient with $x$ $x$ , we have in this case that $\frac{2}{3}$ $2/3$ is the coefficient with $x$ $x$ . Therefore, the slope has to be $\frac{2}{3}$ $2/3$ .

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What is the slope of $2 x - 3 y = 12$ $2x-3y=12$ ?

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Explanation:

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