SOLUTION: 16.) Find the slope of the line that is perpendicular to the line 3x-5y=20.

Algebra ->  Graphs -> SOLUTION: 16.) Find the slope of the line that is perpendicular to the line 3x-5y=20.       Log On


   

Question 940925: 16.) Find the slope of the line that is perpendicular to the line 3x-5y=20.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
16.)
to find the slope of the line that is perpendicular to the line 3x-5y=20, first write this line in slope-intercept form y=mx%2Bb where m is a slope and b is y-intercept:
3x-5y=20....solve for y
3x-20=5y
3x%2F5-20%2F5=5y%2F5
%283%2F5%29x-4=y or
y=%283%2F5%29x-4
so, the slope of this line is: m=%283%2F5%29
the slope m%5Bp%5D of the line that is perpendicular to this line will have a slope negative reciprocal of the slope m=%283%2F5%29 which is
m%5Bp%5D=-%281%2F%283%2F5%29%29
m%5Bp%5D=-%285%2F3%29