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