Question

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

Answer 1

`y = 2x - 4`

Explanation:

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

`color(blue)(y = mx + b)" "`, where

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

Your starting equation is

`6x - 3y = 12`

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

You can do that by adding `-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)`