SOLUTION: how do i work the following problem on my t1 84? graph and find the equation of the line from the given information. the line that is perpendicular to the line 3x-y=5 and pas

Algebra ->  Graphs -> SOLUTION: how do i work the following problem on my t1 84? graph and find the equation of the line from the given information. the line that is perpendicular to the line 3x-y=5 and pas      Log On


   

Question 618231: how do i work the following problem on my t1 84?
graph and find the equation of the line from the given information.
the line that is perpendicular to the line 3x-y=5 and passes through the point (-2,-2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can give you the theory
First find the slope of the given line
+3x+-+y+=+5+
+-y+=+-3x+%2B+5+
+y+=+3x+-+5+
The slope is +3+
Any line that is perpendicular to this line has
slope = +-1%2Fm+ so
+-1%2Fm+=+-1%2F3+
You now have the slope and the point (-2,-2 )
and that determines the line
Use the point-slope formula
+%28+y+-%28-2%29+%29+%2F+%28+x+-%28-2%29+%29+=+-1%2F3+
+%28+y+%2B+2+%29+%2F+%28+x+%2B+2+%29+=+-1%2F3+
+y+%2B+2+=+%28-1%2F3%29%2A%28+x+%2B+2+%29+
+y+%2B+2+=+%28-1%2F3%29%2Ax+-+2%2F3+
+y+=+%28-1%2F3%29%2Ax+-+2%2F3+-6%2F3+
+y+=+%28-1%2F3%29%2Ax+-8%2F3+
------------------
Here'a a plot of the 2 lines:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+3x+-+5%2C+%28-1%2F3%29%2Ax+-+8%2F3+%29+