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Harleymf Harleymf
  • 13-01-2015
  • Mathematics
Answered

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

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naǫ
naǫ naǫ
  • 13-01-2015

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

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

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TheRealmHunter TheRealmHunter
  • 13-01-2015

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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