Answer:
[tex]y + 2 = \frac{1}{2}(x+3)[/tex]
Step-by-step explanation:
Parallel lines have the same slope. So y = 1/2x - 7 has a slope of m = 1/2 and so will its parallel line.
Substitute m = 1/2 and (-3,-2) into the point slope form of the line.
[tex]y - y_1 = m(x-x_1)\\y - -2 = \frac{1}{2}(x --3)\\y + 2 = \frac{1}{2}(x+3)\\[/tex]
