Answer:
The answer is
[tex] \huge y = - x - 6[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]
We have the final answer as
[tex]y = - x - 6[/tex]
Hope this helps you
