Answer:
[tex]y=-7x-2[/tex]
Step-by-step explanation:
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Let (-1, 5) be (x₁, y₁) and our slope m is -7. By substitution:
[tex]y-(5)=-7(x-(-1))[/tex]
Distribute:
[tex]y-5=- 7 x - 7[/tex]
Adding 5 to both sides gives us our equation:
[tex]y=-7x-2[/tex]
