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

1 Answer

Jun 20, 2016

slope $= - 4$ $=-4$
y-intercept $= 0$ $=0$
(x-intercept $= 0$ $=0$ )

Explanation:

The general slope-intercept form is
$XXX y = m x + b$ $color(white)("XXX")y=color(green)(m)x+color(blue)(b)$
with a slope of $m$ $color(green)(m)$ and a y-intercept of $b$ $color(blue)(b)$

$y = - 4 x$ $y=-4x$ is equivalent to $y = (- 4) x + 0$ $y=(color(green)(-4))x+color(blue)(0)$
which is the slope-intercept form
with slope $(- 4)$ $(color(green)(-4))$
and y-intercept $0$ $color(blue)(0)$

To determine the x-intercept, note that the x-intercept is the value of $x$ $x$ when $y = 0$ $y=0$
$XXX y = - 4 x$ $color(white)("XXX")y=-4x$ evaluated with $y = 0$ $y=0$
$XXX$ $color(white)("XXX")$ implies $x = 0$ $x=0$

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