SOLUTION: whats an equation for the linear function g(x) which is perpendicular to the line 5 x - 6 y = 24 and intersects the line 5 x - 6 y = 24 at x = 30.

Algebra ->  Linear-equations -> SOLUTION: whats an equation for the linear function g(x) which is perpendicular to the line 5 x - 6 y = 24 and intersects the line 5 x - 6 y = 24 at x = 30.       Log On


   

Question 907997: whats an equation for the linear function g(x) which is perpendicular to the line 5 x - 6 y = 24 and intersects the line 5 x - 6 y = 24 at x = 30.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the point of intersection.
When x=30,
5%2830%29-6y=24
150-6y=24
-6y=-122
y=21
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Perpendicular lines have slopes that are negative reciprocals.
5x-6y=24
-6y=-5x%2B24
y=%285%2F6%29x-4
So the perpendicular line would have a slope of ,
m%2A%285%2F6%29=-1
m=-6%2F5
Use the point-slope form of a line.
y-21=-%286%2F5%29%28x-30%29
5%28y-21%29=-6%28x-30%29
5y-105=-6x%2B180
highlight%286x%2B5y=285%29