Answer:
The answer is
[tex] \huge \boxed{y = - \frac{1}{2} x - 8 }[/tex]
Step-by-step explanation:
To find an equation of a line 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 point is (0,-8) and slope - 1/2
We have
[tex]y + 8 = - \frac{1}{2} (x - 0) \\ y + 8 = - \frac{1}{2} x \\ y = - \frac{1}{2}x - 8[/tex]
We have the final answer as
[tex]y = - \frac{1}{2} x - 8 \\ [/tex]
Hope this helps you
