Respuesta :

Hi there!

To find your answer, simply sub in the point and the slope into y-y1=m(x-x1) for y1, x1 and m!

m=-8
point: (1,-8) use this point for x1 and y1
y+8=-8(x-1)

Therefore your equation is y+8=-8(x-1)

Hope this helps!
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