SOLUTION: Write the standard form of the equation of the line described. through: (5, -4), perpendicular to y = 5 x - 4

Algebra ->  Equations -> SOLUTION: Write the standard form of the equation of the line described. through: (5, -4), perpendicular to y = 5 x - 4      Log On


   

Question 1087764: Write the standard form of the equation of the line described.
through: (5, -4), perpendicular to y = 5 x - 4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the new line is:
+m%5B2%5D+=+-1%2Fm%5B1%5D+ where
+m%5B1%5D+=+5+ so
+m%5B2%5D+=+-1%2F5+
--------------------
( 5, -4 )
Usre the general point-slope formula
+%28+y+-%28-4%29+%29+%2F+%28+x+-+5+%29+=+-1%2F5+
+%28+y+%2B+4+%29+%2F+%28+x+-+5+%29+=+-1%2F5+
+5%2A%28+y+%2B+4+%29+=+-1%2A%28+x+-+5+%29+
+5y+%2B+20+=+-x+%2B+5+
+x+%2B+5y+=+-15+
------------------------
check:
does it go through ( 5, -4 ) ?
+5+%2B+5%2A%28-4%29+=+-15+
+5+-+20+=+-15+
+-15+=+-15+
OK