SOLUTION: Find the equation of the line passing through the point (3, 7) and perpendicular to the line 3y = 4 – 2x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the equation of the line passing through the point (3, 7) and perpendicular to the line 3y = 4 – 2x       Log On


   

Question 1102497: Find the equation of the line passing through the point (3, 7) and
perpendicular to the line 3y = 4 – 2x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3y+=+4+-+2x+
+3y+=+-2x+%2B+4+
+y+=+%28-2%2F3%29%2Ax+%2B+4%2F3+
This is in the form +y+=+m%2Ax+%2B+b+
where +m+ = slope, so
+m+=+-2%2F3+
-------------------------
Any line perpendicular to this line will
have slope = +-1%2Fm+
+-1%2F%28%28-2%2F3%29%29+=+3%2F2+
------------------------
The unknown line passes through ( 3,7 )
You can use the general point-slope formula
+%28+y+-+7+%29+%2F+%28+x+-+3+%29+=+3%2F2+
Multiply both sides by +2%2A%28+x+-+3+%29+
+2%2A%28+y+-+7+%29+=+3%2A%28+x+-+3+%29+
+2y+-+14+=+3x+-+9+
+2y+=+3x+%2B+5+
+y+=+%283%2F2%29%2Ax+%2B+5%2F2+
--------------------------
check the answer:
Does it go through ( 3,7 ) ?
+7+=+%283%2F2%29%2A3+%2B+5%2F2+
+7+=+9%2F2+%2B+5%2F2+
+7+=+14%2F2+
+7+=+7+
OK