Hey there!
A line passing through a point [tex](x_1,y_1)[/tex] and with a slope of [tex]m[/tex] will have the following equation in point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
According to the given information, we know the following:
[tex](x_1, y_1)=(1,-8)[/tex]
[tex]x_1=1[/tex]
[tex]y_1=-8[/tex]
[tex]m=-8[/tex]
Now, we can just plug in this information into the equation of [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-8)=-8(x-1)[/tex]
Simplify
[tex]y+8=-8(x-1)[/tex]
That's your answer. Have an awesome day! :)
~AgentCozmo4, Junior Moderator