What is the slope and y intercept of 6x - 3y = 12?

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Answer 1 · 2015-08-22T19:26:46

$y = 2 x - 4$ $y = 2x - 4$

The slope-intercept form for a general line $y$ $y$ looks like this

$y = m x + b$ $color(blue)(y = mx + b)" "$ , where

$b$ $b$ - the $y$ $y$ -intercept;
$m$ $m$ - the slope of the line.

Your starting equation is

$6 x - 3 y = 12$ $6x - 3y = 12$

To get it to slope-intercept form, isolate $y$ $y$ on one side of the equation.

You can do that by adding $- 6 x$ $-6x$ to both sides of the equation

$color(red)(cancel(color(black)(6x))) - color(red)(cancel(color(black)(6x))) - 3y = 12 - 6x$

$-3y = -6x + 12$

Now divide all the terms by $-3$ to get

$(color(red)(cancel(color(black)(-3))) * y)/color(red)(cancel(color(black)(-3))) = ((-6))/((-3))x + 12/((-3))$

$color(green)(y = 2x - 4)$