Question

Write an equation of a line parallel to y=1/2x+3 that passes through (2,5)

Answer 1

$y=\frac{1}{2}x+3 \parallel y=mx+b$

Two lines are parallel when their slopes are the same.
$m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\ 5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4}$

Answer 2

All you have to do is have the line have the same slope so now all you have to do is write y=1/2x + 5 or y=1/2x - 3