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How do you find the slope and y intercept of $12 x = 2 y + 1$ $12x = 2y+1$ ?

1 Answer

Dec 16, 2015

Convert the given equation into slope-intercept form to obtain:
$XXX$ $color(white)("XXX")$ slope $= 6$ $=6$
$XXX$ $color(white)("XXX")$ y-intercept $= (- \frac{1}{2})$ $=(-1/2)$

Explanation:

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

Given:
$XXX 12 x = 2 y + 1$ $color(white)("XXX")12x=2y+1$

$XXX 2 y = 12 x - 1$ $color(white)("XXX")2y=12x-1$

$XXX y = 6 x + (- \frac{1}{2})$ $color(white)("XXX")y=6x+(-1/2)$
which is in slope-intercept form with slope $6$ $6$ and y-intercept $(- \frac{1}{2})$ $(-1/2)$

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