How do you find the slope of the line $x - 4 y = 8$ $x-4y=8$ ?

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How do you find the slope of the line $x - 4 y = 8$ $x-4y=8$ ?

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Answer 1 · 2015-08-14T10:44:17

Slope of ( $x - 4 y = 8$ $x-4y = 8$ ) is $\frac{1}{4}$ $1/4$

Explanation:

Method 1
By inspection:
$XXXX$ $color(white)("XXXX")$ For each $1$ $1$ that $x$ $x$ increases $y$ $y$ must increase by $\frac{1}{4}$ $1/4$ for the left side to remain a constant value.

Method 2
Convert to "slope-intercept form"
$XXXX$ $color(white)("XXXX")$ General slope-intercept form is:
$XXXXXXXX$ $color(white)("XXXXXXXX")$ $y = m x + b$ $y=mx+b$
$XXXXXXXXXXXX$ $color(white)("XXXXXXXXXXXX")$ with slope $m$ $m$ and y-intercept $b$ $b$

$XXXX$ $color(white)("XXXX")$ $x - 4 y = 8$ $x-4y=8$
$XXXX$ $color(white)("XXXX")$ $\Rightarrow - 4 y = - x + 8$ $rArr -4y = -x+8$
$XXXX$ $color(white)("XXXX")$ $\Rightarrow y = \frac{x}{4} - 2 = \frac{1}{4} x - 2$ $rArr y = x/4 -2 = 1/4x-2$

Method 3
Given a linear equation in standard form:
$XXXX$ $color(white)("XXXX")$ $A x + B y = C$ $Ax+By = C$
the slope is given by the formula:
$XXXX$ $color(white)("XXXX")$ $m = - \frac{A}{B}$ $m = -A/B$

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How do you find the slope of the line $x - 4 y = 8$ $x-4y=8$ ?

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Explanation:

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How do you find the slope of the line $x - 4 y = 8$ $x-4y=8$ ?