SOLUTION: Find the equation of the line that contains the point (4, 5) and is perpendicular to the line y = 5/4x − 3

Algebra ->  Coordinate-system -> SOLUTION: Find the equation of the line that contains the point (4, 5) and is perpendicular to the line y = 5/4x − 3      Log On


   

Question 369623: Find the equation of the line that contains the point (4, 5) and is perpendicular to the line y = 5/4x − 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
%285%2F4%29%2Am%5B2%5D=-1
m%5B2%5D=-4%2F5
Use the slope-intercept form,
y=-%284%2F5%29x%2Bb
Use the point (4,5) to determine b
5=-%284%2F5%29%284%29%2Bb
5=-16%2F5%2Bb
b=25%2F5%2B16%2F5
b=41%2F5
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highlight%28y=-%284%2F5%29x%2B41%2F5%29
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