Question

How do you find the slope and y intercept of `8x-4y=24`?

Answer 1

`"slope "=2" y-intercept "=-6`

Explanation:

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

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "8x-4y=24" into this form"`

`"subtract "8x" from both sides"`

`-4y=-8x+24`

`"divide all terms by "-4`

`y=2x-6larrcolor(blue)"in slope-intercept form"`

`"with slope "=2" and y-intercept "=-6`

Answer 2

Slope: `2`
`y`-int: `-6`

Explanation:

We can easily find the slope and `y`-intercept of this line by converting it to slope intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`.

Let's subtract `8x` from both sides to get

`-4y=-8x+24`

Next, we divide all terms by `-4` to get

`y=2x-6`

Now that our equation is in this form, we see that our slope is `2`, and our `y`-intercept is `-6`.

Hope this helps!