SOLUTION: equation of a line parallel to the given line and passing through the given point; y=-5x-1;(5,9). equation of a line perpendicular to the given line and passing through the given

Algebra ->  Graphs -> SOLUTION: equation of a line parallel to the given line and passing through the given point; y=-5x-1;(5,9). equation of a line perpendicular to the given line and passing through the given      Log On


   

Question 1068097: equation of a line parallel to the given line and passing through the given point;
y=-5x-1;(5,9).
equation of a line perpendicular to the given line and passing through the given point; y=5x-1; (5,9)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
y%5Bpar%5D=5x%2Bb
Use the point to find b,
9=5%285%29%2Bb
9=25%2Bb
b=-16
So,
y%5Bpar%5D=5x-16
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Perpendicular lines have slopes that are negative reciprocals
5%2Am%5B2%5D=-1
m%5B2%5D=-1%2F5
y%5Bperp%5D=-%281%2F5%29x%2Bb
Use the point to find b,
9=-1%2F5%285%29%2Bb
9=-1%2Bb
b=10
y%5Bperp%5D=-%281%2F5%29x%2B10
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