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

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[tex]y=\frac{1}{2}x+3 \parallel y=mx+b[/tex]

Two lines are parallel when their slopes are the same.
[tex]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} [/tex]
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
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