Question

How do you write `6x-2y=9` into slope intercept form?

Answer 1

`y = 3x - 9/2`

Explanation:

We need to isolate the `y` and write the equation in the following form:

`y=mx+q`

So, starting from `6x-2y=9`,

• subtract `6x` from both sides: `-2y = -6x + 9`
• divide both sides by `-2`: `y = 3x - 9/2`

And there you have it: `y = 3x - 9/2` is in slope-intercept form, with slope `m = 3` and intercept `q=9/2`

Answer 2

`y=3x-9/2`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"rearrange "6x-2y=9" into this form"`

`"subtract "6x" from both sides"`

`-2y=-6x+9`

`"divide all terms by "-2`

`y=3x-9/2larrcolor(blue)"in slope-intercept form"`