How do you find the slope of 8x - 3y = -5?

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How do you find the slope of 8x - 3y = -5?

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Answer 1 · 2015-08-08T11:30:22

The slope of $8 x - 3 y = - 5$ $8x-3y=-5$ is $\frac{8}{3}$ $8/3$

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
$XXXX$ $color(white)("XXXX")$ $m = - \frac{8}{- 3} = \frac{8}{3}$ $m= - 8/(-3) = 8/3$

Method 2 (more common, but 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 $b$ $b$

$8 x - 3 y = - 5$ $8x-3y = -5$

$\to$ $rarr$ $XXXX$ $color(white)("XXXX")$ $- 3 y = - 8 x - 5$ $-3y = -8x -5$

$\to$ $rarr$ $XXXX$ $color(white)("XXXX")$ $y = \frac{8}{3} x + \frac{5}{3}$ $y = 8/3x +5/3$

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How do you find the slope of 8x - 3y = -5?

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