SOLUTION: Find the slope of a line perpendicular to the following line. f(x)=5/2x+3

Algebra ->  Linear-equations -> SOLUTION: Find the slope of a line perpendicular to the following line. f(x)=5/2x+3      Log On


   

Question 912913: Find the slope of a line perpendicular to the following line.
f(x)=5/2x+3
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
f%28x%29=%285%2F2%29x%2B3
m%5B1%5D=5%2F2
m%5B1%5D%2Am%5Bp%5D=-1
%285%2F2%29%2Am%5Bp%5D=-1
m%5Bp%5D=-2%2F5

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+%285%2F2%29x%2B3 => slope is %285%2F2%29 and a line perpendicular to the following line has a slope negative reciprocal
so, the slope of a perpendicular line is -1%2F%285%2F2%29 =>+-2%2F5+

check with these lines: f%28x%29=+-%282%2F5%29x%2B3 or f%28x%29=+-%282%2F5%29x (they have same slope and they are parallel to each other, and both should be perpendicular to f%28x%29=+%285%2F2%29x%2B3)