SOLUTION: Please help with the following: Write the standard form of the equation of the line described. Through: (5, -1), perpendicular to y = 5/2x Thank you!

Algebra ->  Graphs -> SOLUTION: Please help with the following: Write the standard form of the equation of the line described. Through: (5, -1), perpendicular to y = 5/2x Thank you!      Log On


   

Question 1097498: Please help with the following:
Write the standard form of the equation of the line described.
Through: (5, -1), perpendicular to y = 5/2x

Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5%2F2%29+ = the slope of given line
+-1%2Fm+=+-1%2F%285%2F2%29+
+-1%2Fm+=+-2%2F5+
This is the slope of the line through ( 5,-1 )
Use the general point-slope formula
+%28+y+-+%28-1%29+%29+%2F+%28+x-+5+%29+=+-2%2F5+
Multiply both sides by +5%2A%28+x-5+%29+
+5%2A%28+y+%2B+1+%29+=+-2%2A%28+x+-+5+%29+
+5y+%2B+5+=+-2x+%2B+10+
+2x+%2B+5y+=+5+
-------------------
check:
does it go through ( 5,-1 )?
+2%2A5+%2B+5%2A%28-1%29+=+5+
+10+-+5+=+5+
+5+=+5+
OK