What is the slope and intercept of $- 12 x - 4 y = 2$ $-12x-4y=2$ ?

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What is the slope and intercept of $- 12 x - 4 y = 2$ $-12x-4y=2$ ?

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Answer 1 · 2016-05-18T11:22:59

Slope: $(- 3)$ $(-3)$
y-intercept: $- \frac{1}{2}$ $-1/2$

Explanation:

The easiest way to handle this question is to convert
the given equation: $- 12 x - 4 y = 2$ $-12x-4y=2$
into "slope-intercept" form:
$XXX y = m x + b$ $color(white)("XXX")y=color(green)(m)x+color(blue)(b)$ with slope $m$ $color(green)(m)$ and y-intercept $b$ $color(blue)(b)$

$- 12 x - 4 y = 2$ $-12x-4y=2$
$XXX \to - 4 y = 12 x + 2$ $color(white)("XXX")rarr -4y=12x+2$

$XXX \to y = - 3 x - \frac{1}{2}$ $color(white)("XXX")rarr y=color(green)(-3)xcolor(blue)(-1/2)$
which is in slope-intercept form with slope $(- 3)$ $color(green)(""(-3))$ and y-intercept $(- \frac{1}{2})$ $color(blue)(""(-1/2))$

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If the x-intercept is also required,
it can be found by setting $y = 0$ $y=0$ in the original equation
and solving for $x$ $x$
$XXX - 12 x - 4 (0) = 2$ $color(white)("XXX")-12x-4(0)=2$

$XXX \to x = - \frac{1}{6}$ $color(white)("XXX")rarr x=-1/6$

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What is the slope and intercept of $- 12 x - 4 y = 2$ $-12x-4y=2$ ?

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Explanation:

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