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How do you write $4 x + 2 y = 0$ $4x+2y=0$ into slope intercept form?

1 Answer

Aug 7, 2015

$y = (- 2) x + 0$ $y = color(red)((-2))x+color(blue)(0)$ with a slope of $(- 2)$ $color(red)((-2))$ and a y-intercept of $0$ $color(blue)(0)$

Explanation:

The general slope-intercept form is:
$XXXX$ $color(white)("XXXX")$ $y = m x + b$ $y = mx +b$

$4 x + 2 y = 0$ $4x+2y= 0$ can be converted into this form fairly simply:

Subtract $4 x$ $4x$ from both sides
$XXXX$ $color(white)("XXXX")$ $2 y = - 4 x$ $2y = -4x$

Divide both sides by 2
$XXXX$ $color(white)("XXXX")$ $y = (- 2) x$ $y = (-2)x$

To be explicit in our slope-intercept form we still need to specify " $b$ $b$ "
$XXXX$ $color(white)("XXXX")$ $y = (- 2) x + 0$ $y = (-2)x+0$

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