How do you find the slope of 2x+y=3?

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How do you find the slope of 2x+y=3?

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Answer 1 · 2015-08-08T11:34:26

The slope of $2 x + y = 3$ $2x+y=3$ is $- 2$ $-2$

Explanation:

Method 1
For a linear equation in standard form
$XXXX$ $color(white)("XXXX")$ $A x + B y = C$ $Ax+By=C$
the slope is given by the equation
$XXXX$ $color(white)("XXXX")$ $m = - \frac{A}{B}$ $m=-A/B$

In this case that becomes
$XXXX$ $color(white)("XXXX")$ $m = - \frac{2}{1} = - 2$ $m= - 2/1 = -2$

Method 2 (more common, but often more work)
Convert the equation into "slope-point form":
$XXXX$ $color(white)("XXXX")$ $y = m x + b$ $y = mx+b$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ with a slope of $m$ $m$ and a y-intercept of $b$ $b$

$2 x + y = 3$ $2x+y = 3$

$\to$ $rarr$ $XXXX$ $color(white)("XXXX")$ $y = - 2 x + 3$ $y = -2x+3$

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How do you find the slope of 2x+y=3?

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