Answer:
The answer is
[tex]y = \frac{1}{2} x + 2 \\ [/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 + 2 = \frac{1}{2} (x + 8) \\ y + 2 = \frac{1}{2} x + 4 \\ y = \frac{1}{2} x + 4 - 2[/tex]
We have the final answer as
[tex]y = \frac{1}{2} x + 2 \\ [/tex]
Hope this helps you
