SOLUTION: Given two lines whose equations are 3x+y-8=0 and -2x+by+9=0 determine the value of b such that the two lines will be perpendicular.
Algebra ->
Statistics
-> Linear-regression
-> SOLUTION: Given two lines whose equations are 3x+y-8=0 and -2x+by+9=0 determine the value of b such that the two lines will be perpendicular.
Log On
Question 1013576: Given two lines whose equations are 3x+y-8=0 and -2x+by+9=0 determine the value of b such that the two lines will be perpendicular. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Given two lines whose equations are 3x+y-8=0 and -2x+by+9=0 determine the value of b such that the two lines will be perpendicular.
-------------
3x+y-8=0
y = -3x + 8
slope = -3
------------
-2x+by+9=0
by = 2x - 9
y = (2/b)x - (9/b)
slope = 2/b
--------
For the lines to be perpendicular (-3)(2/b) = -1
-b = -6
b = 6
---------------
Cheers,
Stan H.
---------------
(