Question

How do you change `y - -1/4 = -3(x + 1/4)` into slope intercept form?

Answer 1

`y = -3x - 1`

Explanation:

This is slope-intercept form:

`y - -1/4 = -3(x+1/4)`

First, simplify:
`y + 1/4 = -3x - 3/4`

Now subtract `color(blue)(1/4)` from both sides of the equation:
`y + 1/4 quadcolor(blue)(-quad1/4) = -3x - 3/4 quadcolor(blue)(-quad1/4)`

`y = -3x - 1`

This now matches slope-intercept form, `y = mx + b` where `m = -3` and `b = -1`.

Hope this helps!

Answer 2

`y=-3x-1`

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"`

`"distribute and rearrange"`

`y+1/4=-3x-3/4`

`"subtract "1/4" from both sides"`

`y=-3x-3/4-1/4`

`y=-3x-1larrcolor(red)"in slope-intercept form"`

Answer 3

`y=-3x-1`

Explanation:

Recall that slope intercept form is given by

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

We can start by distributing the `-3` on the right to get

`y+1/4=-3x-3/4`

Next, let's subtract `1/4` from both sides to get

`y=-3x-1`

This equation is now in slope-intercept form.

Hope this helps!