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]