Question

What is the slope and intercept for `y+2=1/4(x-1)`?

Answer 1

We'll have to get this into a `y=m*x+b` form

Explanation:

Subtract `2` from both sides:
`->y+cancel2-cancel2=1/4(x-1)-2`

Now, lose the brackets:
`->y=1/4x-1/4-2`
Or:
`->y=1/4x-2 1/4`

Where `1/4` is the slope and `(0,-2 1/4)` is the `y`-intercept
graph{0.25x-2.25 [-6.83, 13.17, -6.76, 3.24]}

Answer 2

Slope: `1/4 color(white)("XXXXXX")`y-intecept: `(-2 1/4)`

Explanation:

Remember that the general slope-intercept form is
`color(white)("XXX")y=color(green)(m)x+color(blue)(b)`
with slope of `color(green)(m)` and y-intercept of `color(blue)(b)`

Given
`color(white)("XXX")y+2=1/4(x-1)`
we wish to convert this into slope-intercept form.

`color(white)("XXX")y+2 =1/4x-1/4`

`color(white)("XXX")y=color(green)(1/4)x + (color(blue)( - 2 1/4))`

So this line has a slope of `color(green)(1/4)`
and a y-intercept of `color(blue)(""(- 2 1/4))`