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

User Gerwitz
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2 Answers

1 vote
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
User Marco Caltagirone
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1 vote

y=(1)/(2)x+3 \parallel y=mx+b

Two lines are parallel when their slopes are the same.

m=(1)/(2) \\ y=(1)/(2)x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\ 5=(1)/(2) * 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=(1)/(2)x+4}

User Yegorich
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