Respuesta :

Answer:

The equation in point slope form is [tex]y+8=0.25(x+1)[/tex]

The equation in slope intercept form is [tex]y=0.25x-7.75[/tex]

Step-by-step explanation:

we know that

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

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex]m=0.25\\point\ (-1,-8)[/tex]

substitute

[tex]y+8=0.25(x+1)[/tex]

Convert to slope intercept form

[tex]y=mx+b[/tex]

isolate the variable y

[tex]y+8=0.25x+0.25[/tex]

[tex]y=0.25x+0.25-8[/tex]

[tex]y=0.25x-7.75[/tex]