Answer:
The answer is
[tex]y = - x + 8[/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]
where
m is the slope
( x1 , y1) is the point
From the question the slope is - 1
the point is (1, 7)
The equation is
[tex]y - 7 = - 1(x - 1) \\ y - 7 = - x + 1 \\ y = - x + 1 + 7[/tex]
We have the final answer as
[tex]y = - x + 8[/tex]
Hope this helps you
