write an equation of a line parallel to the given line through the given point

Question

write an equation of a line parallel e given line through the given point

$y=\frac{1}{2}(x-2)$ and point $(3,6)$ I don't know how to do this I don't know what to try I feel hopeless

Answer 1

The equation of a line passing through a point $(a,b)$ and has a slope $m$ is $$y-b=m(x-a)$$ and so simply you have $$y-6=\frac{1}{2}(x-3)\\ y=\frac{1}{2}x-\frac{3}{2}+6\\ y=\frac{1}{2}x-\frac{9}{2}$$