Question

Write an equation of the line with a slope of 0.25 that passes through the point (-1 -8)

Answer 1

The equation in point slope form is
`y+8=0.25(x+1)`

The equation in slope intercept form is
`y=0.25x-7.75`

Explanation:

we know that

The equation of the line in point slope form is equal to

`y-y1=m(x-x1)`

In this problem we have

`m=0.25\\point\ (-1,-8)`

substitute

`y+8=0.25(x+1)`

Convert to slope intercept form

`y=mx+b`

isolate the variable y

`y+8=0.25x+0.25`

`y=0.25x+0.25-8`

`y=0.25x-7.75`